Littérature scientifique sur le sujet « Scalar curvature problem »
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Articles de revues sur le sujet "Scalar curvature problem"
BUCATARU, IOAN, et ZOLTÁN MUZSNAY. « FINSLER METRIZABLE ISOTROPIC SPRAYS AND HILBERT’S FOURTH PROBLEM ». Journal of the Australian Mathematical Society 97, no 1 (20 mai 2014) : 27–47. http://dx.doi.org/10.1017/s1446788714000111.
Texte intégralLi, Ying, Xiaohuan Mo et Yaoyong Yu. « Inverse problem of sprays with scalar curvature ». International Journal of Mathematics 30, no 09 (août 2019) : 1950041. http://dx.doi.org/10.1142/s0129167x19500411.
Texte intégralCheng, Qing-Ming, Shichang Shu et Young Jin Suh. « Compact hypersurfaces in a unit sphere ». Proceedings of the Royal Society of Edinburgh : Section A Mathematics 135, no 6 (décembre 2005) : 1129–37. http://dx.doi.org/10.1017/s0308210500004303.
Texte intégralCheng, Xinyue, Li Yin et Tingting Li. « A class of Randers metrics of scalar flag curvature ». International Journal of Mathematics 31, no 13 (18 novembre 2020) : 2050114. http://dx.doi.org/10.1142/s0129167x20501141.
Texte intégralChen, Xuezhang, et Liming Sun. « Existence of conformal metrics with constant scalar curvature and constant boundary mean curvature on compact manifolds ». Communications in Contemporary Mathematics 21, no 03 (mai 2019) : 1850021. http://dx.doi.org/10.1142/s0219199718500219.
Texte intégralHolcman, David. « Prescribed scalar curvature problem on complete manifolds ». Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 328, no 4 (février 1999) : 321–26. http://dx.doi.org/10.1016/s0764-4442(99)80218-3.
Texte intégralHolcman, David. « Prescribed scalar curvature problem on complete manifolds ». Journal de Mathématiques Pures et Appliquées 80, no 2 (mars 2001) : 223–44. http://dx.doi.org/10.1016/s0021-7824(00)01181-8.
Texte intégralKendall, P. C., P. N. Robson et J. E. Sitch. « Rib waveguide curvature loss : the scalar problem ». IEE Proceedings J Optoelectronics 132, no 2 (1985) : 140. http://dx.doi.org/10.1049/ip-j.1985.0028.
Texte intégralYANG, KWANG-WU. « ON WARPED PRODUCT MANIFOLDS - CONFORMAL FLATNESS AND CONSTANT SCALAR CURVATURE PROBLEM ». Tamkang Journal of Mathematics 29, no 3 (1 septembre 1998) : 203–21. http://dx.doi.org/10.5556/j.tkjm.29.1998.4272.
Texte intégralChen, Bin, et Lili Zhao. « On a Yamabe Type Problem in Finsler Geometry ». Canadian Mathematical Bulletin 60, no 2 (1 juin 2017) : 253–68. http://dx.doi.org/10.4153/cmb-2016-102-x.
Texte intégralThèses sur le sujet "Scalar curvature problem"
Santos, Almir Rogério Silva. « A construction of constant scalar curvature manifolds with delaunay-type ends ». reponame:Repositório Institucional da UFS, 2009. https://ri.ufs.br/handle/riufs/825.
Texte intégralSantos, Alex Sandro Lopes. « Problema de Yamabe modificado em variedades compactas de dimensão quatro e métricas críticas do funcional curvatura escalar ». reponame:Repositório Institucional da UFC, 2017. http://www.repositorio.ufc.br/handle/riufc/22885.
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In the fisrt part of this work we investigate the modified Yamabe problem on four-dimensional manifolds whose the modifiers invariants depending on the eigenvalues of the Weyl curvature tensor and they are described in terms of maximum and minimum of the biorthogonal (sectional) curvature. We provide some geometrical and topological properties on four-dimensional manifolds in terms of these invariants. In the second part we investigate the critical points of the total scalar curvature functional restricted to space of metrics with constant scalar curvature of unitary volume, for simplicity CPE metrics. It was conjectured in the 1980’s that every CPE metric must be Einstein. We prove that such a conjecture is true under a second-order vanishing condition on the Weyl tensor.
Na primeira parte deste trabalho investigamos o problema de Yamabe modificado em variedades de dimensão quatro cujos invariantes modificadores dependem dos autovalores do tensor de Weyl e são descritos em termos do máximo e mínimo da curvatura biortogonal (seccional). Fornecemos algumas propriedades geométricas e topológicas para tais variedades em termos destes invariantes. Na segunda parte investigamos os pontos críticos do funcional curvatura escalar total restrito ao espaço de métricas com curvatura escalar constante e volume unitário, abreviadamente chamamos de métricas CPE. Conjecturou-se na década de 1980 que toda métrica CPE deve ser Einstein. Provamos que tal conjectura é verdadeira sob uma condição de nulidade sobre o divergente de segunda ordem do tensor de Weyl.
Malchiodi, Andrea. « Existence and multiplicity results for some problems in Riemannian geometry ». Doctoral thesis, SISSA, 2000. http://hdl.handle.net/20.500.11767/4627.
Texte intégralMazzieri, Lorenzo. « Somme connesse generalizzate per problemi della geometria ». Doctoral thesis, Scuola Normale Superiore, 2008. http://hdl.handle.net/11384/85700.
Texte intégralSicbaldi, Pieralberto. « Domaines extrémaux pour la première valeur propre de l’opérateur de Laplace-Beltrami ». Thesis, Paris Est, 2009. http://www.theses.fr/2009PEST0014.
Texte intégralIn what follows, we will consider a compact Riemannian manifold whose dimension is at least 2. Let Ù be a (smooth enough) domain and ?O the first eigenvalue of the Laplace-Beltrami operator on Ù with 0 Dirichlet boundary condition. We say that Ù is extremal (for the first eigenvalue of the Laplace-Beltrami operator) if is a critical point for the functional Ù? ?O with respect to variations of the domain which preserve its volume. In other words, Ù is extremal if, for all smooth family of domains { Ù t}te(-t0,t0) whose volume is equal to a constant c0, and Ù 0 = Ù, the derivative of the function t ? ?Ot computed at t = 0 is equal to 0. We recall that an extremal domain is characterized by the fact that the eigenfunction associated to the first eigenvalue of the Laplace-Beltrami operator over the domain with 0 Dirichlet boundary condition, has constant Neumann data at the boundary. This result has been proved by A. El Soufi and S. Ilias in 2007. Extremal domains are then domains over which can be solved an elliptic overdeterminated problem. The main aim of this thesis is the construction of extremal domains for the first eigenvalue of the Laplace-Beltrami operator with 0 Dirichlet boundary condition. We give some existence results of extremal domains in the cases of small volume or volume closed to the volume of the manifold. Our results allow also to construct some new nontrivial exemples of extremal domains. The first result we obtained states that if the manifold has a nondegenerate critical point of the scalar curvature, then, given a fixed volume small enough, there exists an extremal domain that can be constructed by perturbation of a geodesic ball centered in that nondegenerated critical point of the scalar curvature. The methode used is based on the study of the operator that to a given domain associes the Neumann data of the first eigenfunction of the Laplace-Beltrami operator over the domain. It is a highly nonlinear, non local, elliptic first order operator. In Rn × R/Z, the circular-cylinder-type domain Br × R/Z, where Br is the ball of radius r > 0 in Rn, is an extremal domain. By studying the linearized of the elliptic first order operator defined in the previous problem, and using some bifurcation results, we prove the existence of nontrivial extremal domains in Rn × R/Z. Such extremal domains are closed to the circular-cylinder-type domains Br × R/Z. If they are invariant by rotation with respect to the vertical axe, they are not invariant by vertical translations. This second result gives a counterexemple to a conjecture of Berestycki, Caffarelli and Nirenberg stated in 1997. For big volumes the construction of extremal domains is technically more difficult and shows some new phenomena. In this context, we had to distinguish two cases, according to the fact that the first eigenfunction Ø0 of the Laplace-Beltrami operator over the manifold is constant or not. The results obtained are the following : 1. If Ø0 has a nondegenerated critical point (in particular it is not constant), then, given a fixed volume closed to the volume of the manifold, there exists an extremal domain obtained by perturbation of the complement of a geodesic ball centered in a nondegenerated critical point of Ø0. 2. If Ø0 is constant and the manifold has some nondegenerate critical points of the scalar curvature, then, for a given fixed volume closed to the volume of the manifold, there exists an extremal domain obtained by perturbation of the complement of a geodesic ball centered in a nondegenerate critical point of the scalar curvature
Chapitres de livres sur le sujet "Scalar curvature problem"
Aubin, Thierry. « Prescribed Scalar Curvature ». Dans Some Nonlinear Problems in Riemannian Geometry, 194–250. Berlin, Heidelberg : Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-662-13006-3_6.
Texte intégralGromov, Misha. « A Dozen Problems, Questions and Conjectures About Positive Scalar Curvature ». Dans Foundations of Mathematics and Physics One Century After Hilbert, 135–58. Cham : Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-64813-2_6.
Texte intégralÖzdemir, E., L. Kiesewetter, K. Antorveza, T. Cheng, S. Leder, D. Wood et A. Menges. « Towards Self-shaping Metamaterial Shells : ». Dans Proceedings of the 2021 DigitalFUTURES, 275–85. Singapore : Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-5983-6_26.
Texte intégralHu, Xue, et Yuguang Shi. « Geometric Aspects of Quasi-Local Mass and Gromov’s Fill-in Problem ». Dans Perspectives in Scalar Curvature, 723–38. WORLD SCIENTIFIC, 2023. http://dx.doi.org/10.1142/9789811273230_0019.
Texte intégralCHEN, WENXIONG, et WEIYUE DING. « A PROBLEM CONCERNING THE SCALAR CURVATURE ON S2 ». Dans Peking University Series in Mathematics, 140–44. World Scientific, 2017. http://dx.doi.org/10.1142/9789813220881_0012.
Texte intégralLimebeer, David J. N., et Matteo Massaro. « Optimal Control ». Dans Dynamics and Optimal Control of Road Vehicles, 348–90. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198825715.003.0008.
Texte intégralZinn-Justin, Jean. « Elements of classical and quantum gravity ». Dans Quantum Field Theory and Critical Phenomena, 670–91. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198834625.003.0028.
Texte intégralActes de conférences sur le sujet "Scalar curvature problem"
Younis, Bassam A., et Stanley A. Berger. « Prediction of Heat Transfer Rates in Shear Flows With Streamline Curvature ». Dans ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45335.
Texte intégralIvanova, Elizaveta, Berthold Noll et Manfred Aigner. « A Numerical Study on the Turbulent Schmidt Numbers in a Jet in Crossflow ». Dans ASME Turbo Expo 2012 : Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/gt2012-69294.
Texte intégralCahan, Daniel, et Offer Shai. « Combinatorial Method for Checking Stability in Tensegrity Structures ». Dans ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-47143.
Texte intégralBartkowiak, Tomasz. « Characterization of 3D Surface Texture Directionality Using Multi-Scale Curvature Tensor Analysis ». Dans ASME 2017 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/imece2017-71609.
Texte intégralCaruntu, Dumitru I. « On Superharmonic Resonances of Nonlinear Nonuniform Beams ». Dans ASME 2008 Conference on Smart Materials, Adaptive Structures and Intelligent Systems. ASMEDC, 2008. http://dx.doi.org/10.1115/smasis2008-599.
Texte intégralCaruntu, Dumitru I. « Simultaneous Resonances of Geometric Nonlinear Nonuniform Beams ». Dans ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2009. http://dx.doi.org/10.1115/detc2009-86779.
Texte intégralCaruntu, Dumitru I. « On Subharmonic Resonances of Geometric Nonlinear Vibrations of Nonuniform Beams ». Dans ASME 2008 International Mechanical Engineering Congress and Exposition. ASMEDC, 2008. http://dx.doi.org/10.1115/imece2008-67727.
Texte intégralPeek, Ralf, et Heedo Yun. « Scaling of Solutions for the Lateral Buckling of Elastic-Plastic Pipelines ». Dans ASME 2004 23rd International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2004. http://dx.doi.org/10.1115/omae2004-51054.
Texte intégralIafrati, Alessandro. « Effect of Surface Curvature on the Hydrodynamics of Water Entry at High Horizontal Velocity ». Dans ASME 2018 37th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/omae2018-78438.
Texte intégralBindon, Jeffery P. « Pressure Distributions in the Tip Clearance Region of an Unshrouded Axial Turbine as Affecting the Problem of Tip Burnout ». Dans ASME 1987 International Gas Turbine Conference and Exhibition. American Society of Mechanical Engineers, 1987. http://dx.doi.org/10.1115/87-gt-230.
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