Relevant bibliographies by topics / Curvature

Academic literature on the topic 'Curvature'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 August 2024

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Journal articles on the topic "Curvature"

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Lellis, Nathália Beatriz Manara, and Paulo José Oliveira Cortez. "Comportamento da Lordose Lombar no Exercício Resistido / Lumbar lordosis behavior in Resisted Exercise." REVISTA CIÊNCIAS EM SAÚDE 6, no. 3 (September 30, 2016): 82–93. http://dx.doi.org/10.21876/rcsfmit.v6i3.585.

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Objetivo: Analisar a curvatura lombar durante a execução de exercícios resistidos. Materiais e Métodos: Foram analisadas 81 pessoas, durante a execução de cinco aparelhos diferentes de exercício resistido. Fez-se um registro fotográfico da coluna lombar durante os exercícios, seguido da análise de quatro variáveis: manutenção da lordose fisiológica, hiperlordose, retificação da curvatura e inversão da curvatura. Resultados: Em todos os aparelhos houve a modificação do comportamento da lordose lombar durante a execução dos exercícios. A manutenção da lordose fisiológica, correspondendo a uma posição não errônea ou aceitável, não foi significativa. No aparelho Cadeira Extensora, a manutenção correta da curvatura lombar durante o exercício resistido esteve presente em apenas 35,8%, sendo o aparelho em que menos se manteve a curvatura fisiológica e em que houve a inversão da curva como a modificação mais presente. O Aparelho Voador foi o que mais demonstrou a preservação da postura com uma porcentagem pequena de alteração (76,5%), seguido pelo aparelho Leg Press (preservação de 65,4%) e pelo Pulley Alto (64,2%). No aparelho Cadeira Flexora, pode-se observar um menor número de variedade dos tipos de curvaturas, estando presente apenas a hiperlordose e a lordose fisiológica, com predomínio de 61,7%, estando ausentes a retificação da curva e a inversão da curva. Conclusão: A prática do exercício resistido sem a manutenção da lordose lombar, seja ela por má orientação ou por carga excessiva, está presente na prática regular dos alunos submetidos a análise do presente estudo.Palavras-chave: Curvaturas da Coluna Vertebral, Dor Lombar, Postura, Exercício, Esforço Físico, Levantamento de PesoABSTRACTObjective: To analyze the lumbar curvature while executing resisted exercises. Material and Methods: A total of 81 subjects were analyzed during execution of five different resistance exercise devices. A photographic register of the lumbar spine during the exercise was performed, followed by data analysis of four variables: maintenance of physiological lordosis, hyperlordosis, rectified curvature and reversal of curvature. Results: It was found modification in lumbar lordosis behavior during the execution of all exercises. The maintenance of the physiological lordosis, which would be a not erroneous and acceptable position, was not significant. On the “Stretcher Chair” device, the correct maintenance of the lumbar curvature during resisted exercise was present in only 35.8%. It was the apparatus in which few remained physiological curvature and the most inversion of the curve was present. The “Flying” machine showed the most preservation of posture with a small percentage of change (76.5%), and was followed by the “Leg” unit (65.4%) and “High Pulley” set (64.2%). The “Flexor Chair” device showed the fewer variety in types of curvatures, the hyperlordosis and physiologic lordosis, with a prevalence of 61.7%. Rectification and reversal of the curvature was not observed in this device. Conclusion: The practice of resisted exercise without the maintenance of lumbar lordosis, whether by misdirection or stress, is the regular practice of students subjected to analysis of this study.Keywords: Spinal Curvatures, Low Back Pain, Posture, Exercise, Physical Exertion, Weight Lifting
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WANG, DAN, YAJUN YIN, JIYE WU, and ZHENG ZHONG. "THE INTERACTION POTENTIAL BETWEEN MICRO/NANO CURVED SURFACE BODY WITH NEGATIVE GAUSS CURVATURE AND AN OUTSIDE PARTICLE." Journal of Mechanics in Medicine and Biology 15, no. 06 (December 2015): 1540055. http://dx.doi.org/10.1142/s0219519415400552.

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Based on the negative exponential pair potential ([Formula: see text]), the interaction potential between curved surface body with negative Gauss curvature and an outside particle is proved to be of curvature-based form, i.e., it can be written as a function of curvatures. Idealized numerical experiments are designed to test the accuracy of the curvature-based potential. Compared with the previous results, it is confirmed that the interaction potential between curved surface body and an outside particle has a unified expression of curvatures regardless of the sign of Gauss curvature. Further, propositions below are confirmed: Highly curved surface body may induce driving forces, curvatures and the gradient of curvatures are the essential factors forming the driving forces.
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Bandyopadhyay, Promode R., and Anwar Ahmed. "Turbulent boundary layers subjected to multiple curvatures and pressure gradients." Journal of Fluid Mechanics 246 (January 1993): 503–27. http://dx.doi.org/10.1017/s0022112093000242.

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The effects of abruptly applied cycles of curvatures and pressure gradients on turbulent boundary layers are examined experimentally. Two two-dimensional curved test surfaces are considered: one has a sequence of concave and convex longitudinal surface curvatures and the other has a sequence of convex and concave curvatures. The choice of the curvature sequences were motivated by a desire to study the asymmetric response of turbulent boundary layers to convex and concave curvatures. The relaxation of a boundary layer from the effects of these two opposite sequences has been compared. The effect of the accompanying sequences of pressure gradient has also been examined but the effect of curvature dominates. The growth of internal layers at the curvature junctions have been studied. Measurements of the Górtler and corner vortex systems have been made. The boundary layer recovering from the sequence of concave to convex curvature has a sustained lower skin friction level than in that recovering from the sequence of convex to concave curvature. The amplification and suppression of turbulence due to the curvature sequences have also been studied.
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Bartkowiak, Tomasz, and Christopher A. Brown. "Multiscale 3D Curvature Analysis of Processed Surface Textures of Aluminum Alloy 6061 T6." Materials 12, no. 2 (January 14, 2019): 257. http://dx.doi.org/10.3390/ma12020257.

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The objectives of this paper are to demonstrate the viability, and to validate, in part, a multiscale method for calculating curvature tensors on measured surface topographies with two different methods of specifying the scale. The curvature tensors are calculated as functions of scale, i.e., size, and position from a regular, orthogonal array of measured heights. Multiscale characterization of curvature is important because, like slope and area, it changes with the scale of observation, or calculation, on irregular surfaces. Curvatures can be indicative of the topographically dependent behavior of a surface and, in turn, curvatures are influenced by the processing and use of the surface. Curvatures of surface topographies have not been well- characterized yet. Curvature has been used for calculations in contact mechanics and for the evaluation of cutting edges. Manufactured surfaces are studied for further validation of the calculation method because they provide certain expectations for curvatures, which depend on scale and the degree of curvature. To study a range of curvatures on manufactured surfaces, square edges are machined and honed, then rounded progressively by mass finishing; additionally, a set of surfaces was made by turning with different feeds. Topographic measurements are made with a scanning laser confocal microscope. The calculations use vectors, normal to the measured surface, which are calculated first, then the eigenvalue problem is solved for the curvature tensor. Plots of principal curvatures as a function of position and scale are presented. Statistical analyses show expected interactions between curvature and these manufacturing processes.
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Nurkan, Semra Kaya, and İbrahim Gürgil. "Surfaces with Constant Negative Curvature." Symmetry 15, no. 5 (April 28, 2023): 997. http://dx.doi.org/10.3390/sym15050997.

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In this paper, we have considered surfaces with constant negative Gaussian curvature in the simply isotropic 3-Space by defined Sauer and Strubeckerr. Firstly, we have studied the isotropic II-flat, isotropic minimal and isotropic II-minimal, the constant second Gaussian curvature, and the constant mean curvature of surfaces with constant negative curvature (SCNC) in the simply isotropic 3-space. Surfaces with symmetry are obtained when the mean curvatures are equal. Further, we have investigated the constant Casorati, the tangential and the amalgamatic curvatures of SCNC.
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He, Chen, Michael Kai-Tsun To, Chi-Kwan Chan, and Man Sang Wong. "Significance of recumbent curvature in prediction of in-orthosis correction for adolescent idiopathic scoliosis." Prosthetics and Orthotics International 43, no. 2 (September 7, 2018): 163–69. http://dx.doi.org/10.1177/0309364618798172.

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Background: Prediction of in-orthosis curvature at pre-orthosis stage is valuable for the treatment planning for adolescent idiopathic scoliosis, while the position of spinal curvature assessment that is effective for this prediction is still unknown. Objectives: To compare the spinal curvatures in different body positions for predicting the spinal curvature rendered by orthosis. Study design: A prospective cohort study. Methods: Twenty-two patients with adolescent idiopathic scoliosis (mean Cobb angle: 28.1°± 7.3°) underwent ultrasound assessment of spinal curvature in five positions (standing, supine, prone, sitting bending, prone bending positions) and that within orthosis. Differences and correlations were analyzed between the spinal curvatures in the five positions and that within orthosis. Results: The mean in-orthosis curvature was 11.2° while the mean curvatures in five studied positions were 18.7° (standing), 10.7° (supine), 10.7° (prone), –3.5° (prone bending), and −6.5° (sitting bending). The correlation coefficients of the in-orthosis curvature and that in five studied positions were r = 0.65 (standing), r = 0.76 (supine), r = 0.87 (prone), r = 0.41 (prone bending), and r = 0.36 (sitting bending). Conclusion: The curvature in recumbent positions (supine and prone) is highly correlated to the initial in-orthosis curvature without significant difference. Thus, the initial effect of spinal orthosis could be predicted by the curvature in the recumbent positions (especially prone position) at the pre-orthosis stage. Clinical relevance Prediction of in-orthosis correction at pre-orthosis stage is valuable for spinal orthosis design. This study suggests assessing the spinal curvature in recumbent position (especially prone position) to predict the initial in-orthosis correction for optimizing the orthosis design.
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Garanzha, Vladimir A., Liudmila N. Kudryavtseva, and Dmitry A. Makarov. "Discrete curvatures for planar curves based on Archimedes’ duality principle." Russian Journal of Numerical Analysis and Mathematical Modelling 37, no. 2 (April 1, 2022): 85–98. http://dx.doi.org/10.1515/rnam-2022-0007.

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Abstract We introduce discrete curvatures for planar curves based on the construction of sequences of pairs of mutually dual polylines. For piecewise-regular curves consisting of a finite number of fragments of regular generalized spirals with definite (positive or negative) curvatures our discrete curvatures approximate the exact averaged curvature from below and from above. In order to derive these estimates one should provide a distance function allowing to compute the closest point on the curve for an arbitrary point on the plane.With refinement of the polylines, the averaged curvature over refined curve segments converges to the pointwise values of the curvature and, thus, we obtain a good and stable local approximation of the curvature. For the important engineering case when the curve is approximated only by the inscribed (primal) polyline and the exact distance function is not available, we provide a comparative analysis for several techniques allowing to build dual polylines and discrete curvatures and evaluate their ability to create lower and upper estimates for the averaged curvature.
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Maheshkumar Kankarej, Manisha. "Different Types of Curvature and Their Vanishing Conditions." Academic Journal of Applied Mathematical Sciences, no. 73 (May 2, 2021): 143–48. http://dx.doi.org/10.32861/ajams.73.143.148.

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In the present paper, I studied different types of Curvature like Riemannian Curvature, Concircular Curvature, Weyl Curvature, and Projective Curvature in Quarter Symmetric non-Metric Connection in P-Sasakian manifold. A comparative study of a manifold with a Riemannian connection is done with a P-Sasakian Manifold. Conditions for vanishing for different types of curvature are also a part of the study. Some necessary properties of the Hessian operator are discussed with respect to all curvatures as well.
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Cannon, Kevin S., Benjamin L. Woods, John M. Crutchley, and Amy S. Gladfelter. "An amphipathic helix enables septins to sense micrometer-scale membrane curvature." Journal of Cell Biology 218, no. 4 (January 18, 2019): 1128–37. http://dx.doi.org/10.1083/jcb.201807211.

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Cell shape is well described by membrane curvature. Septins are filament-forming, GTP-binding proteins that assemble on positive, micrometer-scale curvatures. Here, we examine the molecular basis of curvature sensing by septins. We show that differences in affinity and the number of binding sites drive curvature-specific adsorption of septins. Moreover, we find septin assembly onto curved membranes is cooperative and show that geometry influences higher-order arrangement of septin filaments. Although septins must form polymers to stay associated with membranes, septin filaments do not have to span micrometers in length to sense curvature, as we find that single-septin complexes have curvature-dependent association rates. We trace this ability to an amphipathic helix (AH) located on the C-terminus of Cdc12. The AH domain is necessary and sufficient for curvature sensing both in vitro and in vivo. These data show that curvature sensing by septins operates at much smaller length scales than the micrometer curvatures being detected.
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Cheng, Qing-Ming, Shichang Shu, and Young Jin Suh. "Compact hypersurfaces in a unit sphere." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 135, no. 6 (December 2005): 1129–37. http://dx.doi.org/10.1017/s0308210500004303.

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We study curvature structures of compact hypersurfaces in the unit sphere Sn+1(1) with two distinct principal curvatures. First of all, we prove that the Riemannian product is the only compact hypersurface in Sn+1(1) with two distinct principal curvatures, one of which is simple and satisfies where n(n − 1)r is the scalar curvature of hypersurfaces and c2 = (n − 2)/nr. This generalized the result of Cheng, where the scalar curvature is constant is assumed. Secondly, we prove that the Riemannian product is the only compact hypersurface with non-zero mean curvature in Sn+1(1) with two distinct principal curvatures, one of which is simple and satisfies This gives a partial answer for the problem proposed by Cheng.
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Dissertations / Theses on the topic "Curvature"

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Fonseca, Aurineide Castro. "Conjectura da curvatura escalar normal." Universidade Federal do CearÃ, 2008. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=2846.

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Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico
O objetivo desta dissertaÃÃo à apresentar uma demonstraÃÃo para uma desigualdade pontual, denominada conjectura da curvatura escalar normal, a qual à vÃlida para subvariedades n-dimensionais, Mn, imersas isometricamente em formas espaciais Nn+m(c) de curvatura seccional constante c.
In this work we present a proof of the Normal Scalar Curvature Conjecture for submanifolds Mn, isometrically immersed into space forms Nn+m(c) of constant sectional curvature c.
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Choi, Yang Ho. "Curvature arbitrage." Diss., University of Iowa, 2007. http://ir.uiowa.edu/etd/166.

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Pereira, José Ilhano da Silva. "Hipersuperfícies mínimas de R4 com curvatura de Gauss-Kronecker nula." reponame:Repositório Institucional da UFC, 2017. http://www.repositorio.ufc.br/handle/riufc/27052.

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PEREIRA, José Ilhano da Silva. Hipersuperfícies mínimas de R4 com curvatura de Gauss-Kronecker nula. 2017. 44 f. Dissertação (Mestrado em Matemática) - Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2017.
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Rejected by Rocilda Sales (rocilda@ufc.br), reason: Boa tarde, Estou devolvendo a Dissertação de JOSÉ ILHANO DA SILVA PEREIRA, pois há alguns erros a serem corrigidos. Os mesmos seguem listados a seguir. 1- FOLHA DE APROVAÇÃO (substitua a folha de aprovação, por outra que não contenha as assinaturas dos membros da banca examinadora) 2- NUMERAÇÃO INDEVIDA (a numeração indevida de página que aparece na folha de aprovação deve ser retirada) 3- RESUMO (retire o recuo de parágrafo presente no resumo e no abstract) 4- PALAVRAS-CHAVE (apenas o primeiro elemento de cada palavra-chave deve começar com letra maiúscula, assim reescreva as palavras-chave como no exemplo a seguir: Hipersuperfícies mínimas) 5- SUMÁRIO (Os títulos dos capítulos principais, que aparecem no sumário e no interior do trabalho, devem estar em caixa alta (letra maiúscula). Ex.: 2 PRELIMINARES 2.1 Tensores 6 – REFERÊNCIAS (retire o conjunto de “citações” à autores que aparece no final das referências bibliográficas, pois elas fogem ao padrão ABNT para a página das referências) Atenciosamente, on 2017-10-04T17:50:58Z (GMT)
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This work does study the complete minimal hypersurfaces in the Euclidean space R4 , with Gauss-Kronecker curvature identically zero. Our main result is to prove that if f: M3 → R4 is a complete minimal hypersurface with Gauss-Kronecker curvature identically zero, nowhere vanishing second fundamental form and scalar curvature boun-ded from below, then f(M3) splits as a Euclidean product L2 × R , where L2 is a complete minimal surface in R3 with Gaussian curvature bounded from below. Moreover, we show a result about the Gauss-Kronecker curvature of f, without any assumption on the scalar curvature.
Este trabalho tem como objetivo estudar as hipersuperfícies mínimas em R4, com curvatura de Gauss-Kronecker identicamente zero. Como resultado principal provamos que se f : M3 → R4 é uma hipersuperfície mínima com curvatura de Gauss-Kronecker identicamente zero, segunda forma fundamental não se anulando em nenhum ponto e curvatura escalar limitada inferiormente, então f(M3) se decompõe como um produto euclidiano do tipo L2 × R , onde L2 é uma superfície mínima de R3 com curvatura Gaussiana limitada inferiormente. Finalmente, apresentamos um resultado sobre a curvatura de Gauss-Kronecker de f sem nenhuma hipótese sobre a curvatura escalar.
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Eskandari, Sam. "Curvature based Rendering." Thesis, Uppsala University, Department of Information Technology, 2010. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-129722.

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In this thesis work, mean curvature and Gaussian curvature are taken into account. Vertex normal calculation is one of the important parts of this thesis work. Vertex normal calculation is done in order to improve the appearance and smoothness of the surface in our model. Vertex normal is also one of the parts of the mean curvature calculation. Curvature based illumination is the main goal of this thesis work. To achieve our goal we have to define locally backscattered light, ambient attenuation and subsurface scattering based on both mean curvature and Gaussian curvature calculations. All of these calculations are also done in this thesis work. We cannot see anything without having the light, thus we need also a light source which acts as sun with different angles to the horizon. The sun and its angle are also simulated in this thesis work. Since this thesis work is based on local curvature based lighting model for rendering of snow, curvature calculations are applied to the lighting model. Then, mean and Gaussian curvature calculations also evaluated for this model and finally mean curvature and Gaussian curvature values are compared to another calculations method which those values are available in an ASCII file. The idea behind these comparisons is to determine whether the mean and Gaussian curvatures of my calculations or from the ASCII file are more suitable in general if it is possible to say and the advantages and disadvantages of these calculations if any.

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Dobbins, Allan C. (Allan Chalmers). "Endstopping and curvature." Thesis, McGill University, 1988. http://digitool.Library.McGill.CA:80/R/?func=dbin-jump-full&object_id=61913.

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Umur, Habib. "Flows with curvature." Thesis, Imperial College London, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.283576.

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Lope, Vicente Joe Moises. "Curvatura y fibrados principales sobre el círculo (Curvature and principal S 1 -bundles)." Master's thesis, Pontificia Universidad Católica del Perú, 2018. http://tesis.pucp.edu.pe/repositorio/handle/123456789/12829.

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The aim of this thesis is to study in detail the work of S. Kobayashi on the Riemannian geometry on principal S1-bundles. To be more precise, we explain how to obtain metrics with constant scalar curvature on these bundles. The method that we use is based in [18]. The basic idea behind Kobayashi’s construction is to slightly deform the Hopf fibration S1 ‹→ S2n+1 −→ CPn in a such a way that the corresponding sectional curvatures are not far from the produced by the standard metrics on the sphere and the complex projective space on the Hopf fibration. This deformations can be controlled applying the notions of Riemaniann and Kahlerian pinching (see Chapter 3). Furthermore, thanks to a technique developed by Hatakeyama in [14], it is possible to obtain less generic metrics but with a larger set of symmetries on the total space: Sasaki metrics. Actually, If one chooses as a base space a K¨ahler-Einstein manifold with positive scalar curvature one can obtain a Sasaki-Einstein metric.
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Junior, Ernani de Sousa Ribeiro. "Stability of spacelike hypersurfaces in foliated spacetimes." Universidade Federal do CearÃ, 2009. http://www.teses.ufc.br/tde_busca/arquivo.php?codArquivo=5097.

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CoordenaÃÃo de AperfeiÃoamento de Pessoal de NÃvel Superior
Conselho Nacional de Desenvolvimento CientÃfico e TecnolÃgico
Dado um espaÃo-tempo M─n+1 = I x à Fn Robertson-Walker generalizado onde à à a funÃÃo warping que verifica uma certa condiÃÃo de convexidade, vamos classificar hipersuperfÃcies tipo-espaÃo fortemente estÃveis com curvatura mÃdia constante. Mais precisamente, vamos mostrar que, considerando x : Mn→ M─n+1 uma hipersuperfÃcie tipo-espaÃo fortemente estÃvel, fechada imersa em M─n+1 com curvatura mÃdia constante H, se a funÃÃo warping à satisfaz Ãâ ≥ max {H Ãâ, 0} ao longo de M, entÃo Mn à maximal ou uma folha tipo-espaÃo Mto={to} x F, para algum to Є I.
Give a generalized M─n+1 = I xà Fn Robertson-Walker spacetime whose warping function verifies a certain convexity condition, we classify strongly spacelike hypersurfaces with constant mean curvature. More precisely, we will show that given x : Mn → M─n+1 a closed, strongly stable spacelike hypersurfaces of M─n+1 with constant mean curvature H, if the warping function à satisfying à ≥ max {HÃ', 0} along M, is either maximal or a spacelike slice Mto = {to} x F, for some to Є I.
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Lubbe, Felix [Verfasser]. "Curvature estimates for graphical mean curvature flow in higher codimension / Felix Lubbe." Hannover : Technische Informationsbibliothek und Universitätsbibliothek Hannover (TIB), 2015. http://d-nb.info/1075867371/34.

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Robinson, Sebastian Thomas. "Curvature-based surface fairing." Thesis, University of Bath, 2008. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.488895.

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In the computer aided engineering environment, exceptionally smooth but irregular surfaces are often required, such as car bonnets. It is often a lengthy process to design these surfaces to the degree of smoothness and aesthetic beauty that is required by the designer. Smoothing these surfaces is known as fairing and a variety of techniques exist to tackle the problem in different ways. A new method of surface fairing is proposed and demonstrated in this thesis. Many conventional fairing methods use an agreeable curvature plot across the surface as proof of fairness, the method documented here takes the more holistic approach of constructing the improved surface from an agreeable curvature plot.
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Books on the topic "Curvature"

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Casey, James. Exploring Curvature. Wiesbaden: Vieweg+Teubner Verlag, 1996. http://dx.doi.org/10.1007/978-3-322-80274-3.

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James, Casey. Exploring curvature. Braunschweig: Vieweg, 1996.

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Dresden, Staatliche Kunstsammlungen, Galerie Neue Meister (Dresden, Germany), Albertinum (Dresden Germany), Gemäldegalerie Alte Meister (Dresden, Germany), and Semper-Galerie (Dresden Germany), eds. Curvature of events. Bielefeld: Kerber, 2014.

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Tonegawa, Yoshihiro. Brakke's Mean Curvature Flow. Singapore: Springer Singapore, 2019. http://dx.doi.org/10.1007/978-981-13-7075-5.

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Ballmann, Werner, Mikhael Gromov, and Viktor Schroeder. Manifolds of Nonpositive Curvature. Boston, MA: Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4684-9159-3.

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Gromoll, Detlef, and Gerard Walschap. Metric Foliations and Curvature. Basel: Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-8715-0.

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1954-, Walschap Gerard, and SpringerLink (Online service), eds. Metric foliations and curvature. Basel: Birkhäuser, 2009.

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1943-, Gromov Mikhael, and Schroeder Viktor, eds. Manifolds of nonpositive curvature. Boston: Birkhäuser, 1985.

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United States. National Aeronautics and Space Administration., ed. The effects of streamline curvature and swirl on turbulent flows in curved ducts. Lawrence, Kan: Flight Research Laboratory, University of Kansas Center for Research, Inc., 1990.

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Karkanis, Tasso. Curvature dependent implicit surface tiling. Ottawa: National Library of Canada, 1999.

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Book chapters on the topic "Curvature"

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Lang, Serge. "Curvature." In Fundamentals of Differential Geometry, 231–66. New York, NY: Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-0541-8_9.

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Carmo, Manfredo Perdigão do. "Curvature." In Riemannian Geometry, 88–109. Boston, MA: Birkhäuser Boston, 2013. http://dx.doi.org/10.1007/978-1-4757-2201-7_5.

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Dineen, Seán. "Curvature." In Functions of Two Variables, 103–14. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4899-3250-1_14.

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Petersen, Peter. "Curvature." In Graduate Texts in Mathematics, 77–114. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-26654-1_3.

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Godinho, Leonor, and José Natário. "Curvature." In Universitext, 123–64. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08666-8_4.

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Grøn, Øyvind, and Arne Næss. "Curvature." In Einstein's Theory, 169–86. New York, NY: Springer New York, 2011. http://dx.doi.org/10.1007/978-1-4614-0706-5_9.

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Lee, John M. "Curvature." In Graduate Texts in Mathematics, 115–29. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/0-387-22726-1_7.

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Petersen, Peter. "Curvature." In Graduate Texts in Mathematics, 19–61. New York, NY: Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4757-6434-5_2.

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Lang, Serge. "Curvature." In Graduate Texts in Mathematics, 225–60. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-4182-9_9.

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Grinfeld, Pavel. "Curvature." In Introduction to Tensor Analysis and the Calculus of Moving Surfaces, 199–213. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7867-6_12.

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Conference papers on the topic "Curvature"

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Gong, Yuanhao. "Computing Curvature, Mean Curvature and Weighted Mean Curvature." In 2022 IEEE International Conference on Image Processing (ICIP). IEEE, 2022. http://dx.doi.org/10.1109/icip46576.2022.9897816.

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Chopra, Satinder, and Kurt J. Marfurt. "Structural curvature versus amplitude curvature." In SEG Technical Program Expanded Abstracts 2011. Society of Exploration Geophysicists, 2011. http://dx.doi.org/10.1190/1.3628237.

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Wilson, Hugh R., and Whitman Richards. "Mechanisms of curvature discrimination." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1987. http://dx.doi.org/10.1364/oam.1987.mh1.

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Visual processing of curvature was investigated by measuring increment thresholds for curvatures from 0.3 to 25 deg−1. Discrimination of simple curve contours was compared with thresholds for both bandpass and low-pass filtered stimuli. Surprisingly, the higher spatial frequency, orientation selective mechanisms dominate curvature processing, even at low curvatures where lower spatial frequency masks come into play. Our data suggest two different types of curvature mechanism. A simple modification of Wilson's model is in good quantitative agreement with these data. A further modification is required, however, to explain curvature discrimination of Vernier edges created by offsetting the two halves of a grating. In this case, end-stopping must be made explicit using relatively small masks with broad orientation tuning.
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Głogowska, Małgorzata. "Curvature conditions on hypersurfaces with two distinct principal curvatures." In PDEs, Submanifolds and Affine Differential Geometry. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2005. http://dx.doi.org/10.4064/bc69-0-8.

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Polat, Gülistan, Bayram Şahin, and Jae Won Lee. "Inequalities for Riemannian Submersions Involving Casorati Curvatures: A New Approach." In 6th International Students Science Congress. Izmir International Guest Student Association, 2022. http://dx.doi.org/10.52460/issc.2022.031.

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For surfaces in a Euclidean 3-space Casorati [4] introduced a new curvature in 1890 what is today called the Casorati curvature. This curvature was preferred by Casorati over Gauss curvature because Gauss curvature may vanish for surfaces that look intuitively curved, while Casorati curvature only vanishes at the planer points. The Casorati curvature C of submanifolds in a Riemannian manifold is the extrinsic invariant given by the normalized square of the second fundamental form and some optimal inequalities containing Casorati curvatures were obtained for submanifolds of real space forms, complex space forms, and quaternionic space forms [6,11,15,16,17,24,29]. The notion of Casorati curvature is the extended version of the notion of principal curvatures of a hypersurface of a Riemannian manifold. So, it is both important and very interesting to obtain some optimal inequalities for the Casorati curvatures of submanifolds in any ambient Rimannian manifolds. Later, C.W., J.W., Şahin and Vilcu [13] were obtained inequalities for Riemannian maps to space forms, as well as for Riemannian submersion to space forms, involving Casorati curvature. In this study, for a submersion between a space form and Riemannian manifold, we establish an optimization involving the Casorati curvature of the horizontal space. We also investigate the harmonicity of Riemannian map involving Casorati inequalities.
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Richards, Whitman, and Hugh R. Wilson. "Comparison between computer and biological algorithms for extracting curvature." In OSA Annual Meeting. Washington, D.C.: Optica Publishing Group, 1987. http://dx.doi.org/10.1364/oam.1987.mh2.

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Most machine vision systems compute curvature in three steps: (1) blob or contour extraction; (2) tangent computation along an edge list; and (3) tangent differentiation to obtain curvature. Such a procedure requires choosing the spatial scale for these different operators (blob, tangent, and curvature). Customarily, a range of 2-D masks and 1-D curvature operators is used to capture as much information as possible. In contrast, our recent psychophysical data suggest that the human visual system computes curvature using only one spatial scale, namely, the finest, except when pressed to perform on fuzzy contours. Furthermore, two different types of mechanism are required to cover the range of curvatures discriminated. For low curvatures, the mechanism resembles the cocircularity comparison of bar masks proposed by Parent and Zucker (1985). For high curvatures, our visual system uses a single receptive field operator analogous to that proposed by Koenderink and van Doom (1986). (12 min)
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CAPOZZIELLO, S., V. F. CARDONE, S. CARLONI, and A. TROISI. "CURVATURE QUINTESSENCE." In Proceedings of the International Conference. WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702999_0037.

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Djordjevich, Alexandar, and YuZhu He. "Curvature measurements." In Photonics China '98, edited by Shanglian Huang, Kim D. Bennett, and David A. Jackson. SPIE, 1998. http://dx.doi.org/10.1117/12.318211.

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Liu, HaiRong, Longin Jan Latecki, WenYu Liu, and Xiang Bai. "Visual Curvature." In 2007 IEEE Conference on Computer Vision and Pattern Recognition. IEEE, 2007. http://dx.doi.org/10.1109/cvpr.2007.383187.

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Santangelo, Christian, Oscar J. Garay, Eduardo García-Río, and Ramón Vázquez-Lorenzo. "The Geometry and Topology of Liquid Crystals." In CURVATURE AND VARIATIONAL MODELING IN PHYSICS AND BIOPHYSICS. AIP, 2008. http://dx.doi.org/10.1063/1.2918090.

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Reports on the topic "Curvature"

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Rosenberg, I., M. Awschalom, and R. K. Ten Haken. Variable curvature phantom. Office of Scientific and Technical Information (OSTI), April 1985. http://dx.doi.org/10.2172/5481137.

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Tolksdorf, Jurgen. Mass and Curvature. GIQ, 2012. http://dx.doi.org/10.7546/giq-4-2003-303-315.

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Rosenberg, Ivan, Miguel Awschalom, and Randall Ten Haken. Variable Curvature Phantom. Office of Scientific and Technical Information (OSTI), April 1985. http://dx.doi.org/10.2172/1156246.

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Ftaclas, Christ. Advancing Curvature Adaptive Optics. Fort Belvoir, VA: Defense Technical Information Center, September 2011. http://dx.doi.org/10.21236/ada550471.

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Rosenkilde, C. Studies on the implementation of normals and curvatures: 1, The first or mean curvature. Office of Scientific and Technical Information (OSTI), July 1993. http://dx.doi.org/10.2172/10189243.

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Dumont, R., Z. Bardossy, and W. Miles. MINCURV: minimum curvature gridding software. Natural Resources Canada/ESS/Scientific and Technical Publishing Services, 2015. http://dx.doi.org/10.4095/296910.

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Rizzo, T. Collider Signatures for Higher Curvature Gravity. Office of Scientific and Technical Information (OSTI), April 2005. http://dx.doi.org/10.2172/839880.

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Donev, Stoil. Curvature Forms and Interaction of Fields. GIQ, 2012. http://dx.doi.org/10.7546/giq-12-2011-197-213.

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Donev, Stoil. Curvature Forms and Interaction of Fields. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-21-2011-41-59.

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Brunnett, Guido. The Curvature of Plane Elastic Curves. Fort Belvoir, VA: Defense Technical Information Center, March 1993. http://dx.doi.org/10.21236/ada263198.

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