Log in

Relevant bibliographies by topics / Riemannian manifolds

Academic literature on the topic 'Riemannian manifolds'

Author: Grafiati

Published: 4 June 2021

Last updated: 31 July 2024

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Contents

Journal articles
Dissertations / Theses
Books
Book chapters
Conference papers
Reports

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Riemannian manifolds.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Riemannian manifolds"

1

Chaubey, Sudhakar, and Young Suh. "Riemannian concircular structure manifolds." Filomat 36, no. 19 (2022): 6699–711. http://dx.doi.org/10.2298/fil2219699c.

Full text

Abstract:

In this manuscript, we give the definition of Riemannian concircular structure manifolds. Some basic properties and integrability condition of such manifolds are established. It is proved that a Riemannian concircular structure manifold is semisymmetric if and only if it is concircularly flat. We also prove that the Riemannian metric of a semisymmetric Riemannian concircular structure manifold is a generalized soliton. In this sequel, we show that a conformally flat Riemannian concircular structure manifold is a quasi-Einstein manifold and its scalar curvature satisfies the partial differential equation ?r = ?2r/?t2 + ?(n?1)?r/?t. To validate the existence of Riemannian concircular structure manifolds, we present some non-trivial examples. In this series, we show that a quasi-Einstein manifold with a divergence free concircular curvature tensor is a Riemannian concircular structure manifold.

APA, Harvard, Vancouver, ISO, and other styles

2

Sari, Ramazan, and Mehmet Akyol. "Hemi-slant ξ⊥-Riemannian submersions in contact geometry." Filomat 34, no. 11 (2020): 3747–58. http://dx.doi.org/10.2298/fil2011747s.

Full text

Abstract:

M. A. Akyol and R. Sar? [On semi-slant ??-Riemannian submersions, Mediterr. J. Math. 14(6) (2017) 234.] defined semi-slant ??-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. As a generalization of the above notion and natural generalization of anti-invariant ??-Riemannian submersions, semi-invariant ??-Riemannian submersions and slant submersions, we study hemi-slant ??-Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We obtain the geometry of foliations, give some examples and find necessary and sufficient condition for the base manifold to be a locally product manifold. Moreover, we obtain some curvature relations from Sasakian space forms between the total space, the base space and the fibres.

APA, Harvard, Vancouver, ISO, and other styles

3

Popov, Vladimir A. "Analytic Extension of Riemannian Analytic Manifolds of Small Dimension." UNIVERSITY NEWS. NORTH-CAUCASIAN REGION. NATURAL SCIENCES SERIES, no. 2 (218) (June 23, 2023): 21–28. http://dx.doi.org/10.18522/1026-2237-2023-2-21-28.

Full text

Abstract:

Abstract. An analytic extension of a locally given Riemannian analytic metric to a non-extendable Riemannian analytic manifold is considered. There are an infinite number of such extensions, and most of these extensions are very unnatural. The search for the most natural extensions leads to a generalization of the concept of completeness of a Riemannian manifold. It is possible to define a so called compressed manifold for metrics whose Lie algebra of Killing vector fields has no center. It is a universally attracting object in the category of all locally isometric Riemannian analytic manifolds. Morphisms of this category are locally isometric mappings 𝑓: 𝑀\𝑆, where 𝑆 is the set of fixed points of all local isometries of 𝑀 into itself that preserve orientation and Killing vector fields. For an arbitrary class of locally isometric Riemannian analytic manifolds, a definition of a pseudocomplete manifold is given. In contrast to a contracted manifold, a pseudocomplete manifold is complete if a complete manifold exists in the given class. A Riemannian analytic simply connected manifold M is called pseudocomplete if it has the following properties. M is non-extendable. There is no locally isometric covering mapping 𝑓: 𝑀 → 𝑁 where 𝑁 is a simply connected Riemannian analytic manifold, 𝑓(𝑀) is an open subset of 𝑁 not equal to 𝑁. In contrast to contracted manifolds, a pseudocomplete manifold is not unique in the class of locally isometric Riemannian analytic manifolds. Among the pseudocomplete manifolds, the most compressed regular pseudocomplete manifolds are defined. A classification of pseudocomplete manifolds of dimension 2 and 3 is given.

APA, Harvard, Vancouver, ISO, and other styles

4

Rovenski, Vladimir, Sergey Stepanov, and Irina Tsyganok. "The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions." Mathematics 7, no. 6 (June 10, 2019): 527. http://dx.doi.org/10.3390/math7060527.

Full text

Abstract:

In the present paper, we study twisted and warped products of Riemannian manifolds. As an application, we consider projective submersions of Riemannian manifolds, since any Riemannian manifold admitting a projective submersion is necessarily a twisted product of some two Riemannian manifolds.

APA, Harvard, Vancouver, ISO, and other styles

5

Köprülü, Gizem, and Bayram Şahin. "Anti-invariant Riemannian submersions from Sasakian manifolds with totally umbilical fibers." International Journal of Geometric Methods in Modern Physics 18, no. 11 (June 29, 2021): 2150169. http://dx.doi.org/10.1142/s0219887821501693.

Full text

Abstract:

The purpose of this paper is to study anti-invariant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds such that characteristic vector field is vertical or horizontal vector field. We first show that any anti-invariant Riemannian submersions from Sasakian manifold is not a Riemannian submersion with totally umbilical fiber. Then we introduce anti-invariant Riemannian submersions from Sasakian manifolds with totally contact umbilical fibers. We investigate the totally contact geodesicity of fibers of such submersions. Moreover, under this condition, we investigate Ricci curvature of anti-invariant Riemannian submersions from Sasakian manifolds onto Riemannian manifolds.

APA, Harvard, Vancouver, ISO, and other styles

6

ETAYO, FERNANDO, ARACELI DEFRANCISCO, and RAFAEL SANTAMARÍA. "Classification of pure metallic metric geometries." Carpathian Journal of Mathematics 38, no. 2 (February 28, 2022): 417–29. http://dx.doi.org/10.37193/cjm.2022.02.12.

Full text

Abstract:

Metallic Riemannian manifolds with null trace and metallic Norden manifolds are generalizations of almost product Riemannian and almost golden Riemannian manifolds with null trace and almost Norden and almost Norden golden manifolds respectively. All these pure metrics geometries can be unified under the notion of α-metallic metric manifold. We classify this kind of manifolds in a consistent way with the well-known classifications of almost product Riemannian manifolds with null trace and almost Norden manifolds. We also characterize all classes of α-metallic metric manifolds by means of the first canonical connection which is a distinguished adapted connection.

APA, Harvard, Vancouver, ISO, and other styles

7

Ṣahin, Bayram. "Semi-invariant Submersions from Almost Hermitian Manifolds." Canadian Mathematical Bulletin 56, no. 1 (March 1, 2013): 173–83. http://dx.doi.org/10.4153/cmb-2011-144-8.

Full text

Abstract:

AbstractWe introduce semi-invariant Riemannian submersions from almost Hermitian manifolds onto Riemannian manifolds. We give examples, investigate the geometry of foliations that arise from the definition of a Riemannian submersion, and find necessary sufficient conditions for total manifold to be a locally product Riemannian manifold. We also find necessary and sufficient conditions for a semi-invariant submersion to be totally geodesic. Moreover, we obtain a classification for semiinvariant submersions with totally umbilical fibers and show that such submersions put some restrictions on total manifolds.

APA, Harvard, Vancouver, ISO, and other styles

8

PANTILIE, RADU. "Harmonic morphisms with one-dimensional fibres on conformally-flat Riemannian manifolds." Mathematical Proceedings of the Cambridge Philosophical Society 145, no. 1 (July 2008): 141–51. http://dx.doi.org/10.1017/s0305004108001060.

Full text

Abstract:

AbstractWe classify the harmonic morphisms with one-dimensional fibres (1) from real-analytic conformally-flat Riemannian manifolds of dimension at least four (Theorem 3.1), and (2) between conformally-flat Riemannian manifolds of dimensions at least three (Corollaries 3.4 and 3.6).Also, we prove (Proposition 2.5) an integrability result for any real-analytic submersion, from a constant curvature Riemannian manifold of dimensionn+2 to a Riemannian manifold of dimension 2, which can be factorised as ann-harmonic morphism with two-dimensional fibres, to a conformally-flat Riemannian manifold, followed by a horizontally conformal submersion, (n≥4).

APA, Harvard, Vancouver, ISO, and other styles

9

Falbel, Elisha, Claudio Gorodski, and Michel Rumin. "Holonomy of Sub-Riemannian Manifolds." International Journal of Mathematics 08, no. 03 (May 1997): 317–44. http://dx.doi.org/10.1142/s0129167x97000159.

Full text

Abstract:

A sub-Riemannian manifold is a smooth manifold which carries a distribution equipped with a metric. We study the holonomy and the horizontal holonomy (i.e. holonomy spanned by loops everywhere tangent to the distribution) of sub-Riemannian manifolds of contact type relative to an adapted connection. In particular, we obtain an Ambrose–Singer type theorem for the horizontal holonomy and we classify the holonomy irreducible sub-Riemannian symmetric spaces (i.e. homogeneous sub-Riemannian manifolds admitting an involutive isometry whose restriction to the distribution is a central symmetry).

APA, Harvard, Vancouver, ISO, and other styles

10

Gündüzalp, Yılmaz. "Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds." Journal of Function Spaces and Applications 2013 (2013): 1–7. http://dx.doi.org/10.1155/2013/720623.

Full text

Abstract:

We introduce anti-invariant semi-Riemannian submersions from almost para-Hermitian manifolds onto semi-Riemannian manifolds. We give an example, investigate the geometry of foliations which are arisen from the definition of a semi-Riemannian submersion, and check the harmonicity of such submersions. We also obtain curvature relations between the base manifold and the total manifold.

APA, Harvard, Vancouver, ISO, and other styles

More sources

Dissertations / Theses on the topic "Riemannian manifolds"

1

Erb, Wolfgang. "Uncertainty principles on Riemannian manifolds." kostenfrei, 2010. https://mediatum2.ub.tum.de/node?id=976465.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Dunn, Corey. "Curvature homogeneous pseudo-Riemannian manifolds /." view abstract or download file of text, 2006. http://proquest.umi.com/pqdweb?did=1188874491&sid=3&Fmt=2&clientId=11238&RQT=309&VName=PQD.

Full text

Abstract:

Thesis (Ph. D.)--University of Oregon, 2006.
Typescript. Includes vita and abstract. Includes bibliographical references (leaves 146-147). Also available for download via the World Wide Web; free to University of Oregon users.

APA, Harvard, Vancouver, ISO, and other styles

3

Longa, Eduardo Rosinato. "Hypersurfaces of paralellisable Riemannian manifolds." reponame:Biblioteca Digital de Teses e Dissertações da UFRGS, 2017. http://hdl.handle.net/10183/158755.

Full text

Abstract:

Introduzimos uma aplicação de Gauss para hipersuperfícies de variedades Riemannianas paralelizáveis e definimos uma curvatura associada. Após, provamos um teorema de Gauss-Bonnet. Como exemplo, estudamos cuidadosamente o caso no qual o espaço ambiente é uma esfera Euclidiana menos um ponto e obtemos um teorema de rigidez topológica. Ele é utilizado para dar uma prova alternativa para um teorema de Qiaoling Wang and Changyu Xia, o qual afirma que se uma hipersuperfície orientável imersa na esfera está contida em um hemisfério aberto e tem curvatura de Gauss-Kronecker nãonula então ela é difeomorfa a uma esfera. Depois, obtemos alguns invariantes topol_ogicos para hipersuperfícies de variedades translacionais que dependem da geometria da variedade e do espaço ambiente. Finalmente, encontramos obstruções para a existência de certas folheações de codimensão um.
We introduce a Gauss map for hypersurfaces of paralellisable Riemannian manifolds and de ne an associated curvature. Next, we prove a Gauss- Bonnet theorem. As an example, we carefully study the case where the ambient space is an Euclidean sphere minus a point and obtain a topological rigidity theorem. We use it to provide an alternative proof for a theorem of Qiaoling Wang and Changyu Xia, which asserts that if an orientable immersed hypersurface of the sphere is contained in an open hemisphere and has nowhere zero Gauss-Kronecker curvature, then it is di eomorphic to a sphere. Later, we obtain some topological invariants for hypersurfaces of translational manifolds that depend on the geometry of the manifold and the ambient space. Finally, we nd obstructions to the existence of certain codimension-one foliations.

APA, Harvard, Vancouver, ISO, and other styles

4

Catalano, Domenico Antonino. "Concircular diffeomorphisms of pseudo-Riemannian manifolds /." [S.l.] : [s.n.], 1999. http://e-collection.ethbib.ethz.ch/show?type=diss&nr=13064.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Afsari, Bijan. "Means and averaging on riemannian manifolds." College Park, Md. : University of Maryland, 2009. http://hdl.handle.net/1903/9978.

Full text

Abstract:

Thesis (Ph.D.) -- University of Maryland, College Park, 2009.
Thesis research directed by: Dept. of Mathematics. Title from t.p. of PDF. Includes bibliographical references. Published by UMI Dissertation Services, Ann Arbor, Mich. Also available in paper.

APA, Harvard, Vancouver, ISO, and other styles

6

Popiel, Tomasz. "Geometrically-defined curves in Riemannian manifolds." University of Western Australia. School of Mathematics and Statistics, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0119.

Full text

Abstract:

[Truncated abstract] This thesis is concerned with geometrically-defined curves that can be used for interpolation in Riemannian or, more generally, semi-Riemannian manifolds. As in much of the existing literature on such curves, emphasis is placed on manifolds which are important in computer graphics and engineering applications, namely the unit 3-sphere S3 and the closely related rotation group SO(3), as well as other Lie groups and spheres of arbitrary dimension. All geometrically-defined curves investigated in the thesis are either higher order variational curves, namely critical points of cost functionals depending on (covariant) derivatives of order greater than 1, or defined by geometrical algorithms, namely generalisations to manifolds of algorithms from the field of computer aided geometric design. Such curves are needed, especially in the aforementioned applications, since interpolation methods based on applying techniques of classical approximation theory in coordinate charts often produce unnatural interpolants. However, mathematical properties of higher order variational curves and curves defined by geometrical algorithms are in need of substantial further investigation: higher order variational curves are solutions of complicated nonlinear differential equations whose properties are not well-understood; it is usually unclear how to impose endpoint derivative conditions on, or smoothly piece together, curves defined by geometrical algorithms. This thesis addresses these difficulties for several classes of curves. ... The geometrical algorithms investigated in this thesis are generalisations of the de Casteljau and Cox-de Boor algorithms, which define, respectively, polynomial B'ezier and piecewise-polynomial B-spline curves by dividing, in certain ratios and for a finite number of iterations, piecewise-linear control polygons corresponding to finite sequences of control points. We show how the control points of curves produced by the generalised de Casteljau algorithm in an (almost) arbitrary connected finite-dimensional Riemannian manifold M should be chosen in order to impose desired endpoint velocities and (covariant) accelerations and, thereby, piece the curves together in a C2 fashion. A special case of the latter construction simplifies when M is a symmetric space. For the generalised Cox-de Boor algorithm, we analyse in detail the failure of a fundamental property of B-spline curves, namely C2 continuity at (certain) knots, to carry over to M.

APA, Harvard, Vancouver, ISO, and other styles

7

Desa, Zul Kepli Bin Mohd. "Riemannian manifolds with Einstein-like metrics." Thesis, Durham University, 1985. http://etheses.dur.ac.uk/7571/.

Full text

Abstract:

In this thesis, we investigate properties of manifolds with Riemannian metrics which satisfy conditions more general than those of Einstein metrics, including the latter as special cases. The Einstein condition is well known for being the Euler- Lagrange equation of a variational problem. There is not a great deal of difference between such metrics and metrics with Ricci tensor parallel for the latter are locally Riemannian products of the former. More general classes of metrics considered include Ricci- Codazzi and Ricci cyclic parallel. Both of these are of constant scalar curvature. Our study is divided into three parts. We begin with certain metrics in 4-dimensions and conclude our results with three theorems, the first of which is equivalent to a result of Kasner [Kal] while the second and part of the third is known to Derdzinski [Del.2].Next we construct the metrics mentioned above on spheres of odd dimension. The construction is similar to Jensen's [Jel] but more direct and is due essentially to Gray and Vanhecke [GV]. In this way we obtain .beside the standard metric, the second Einstein metric of Jensen. As for the Ricci- Codazzi metrics, they are essentially Einstein, but the Ricci cyclic parallel metrics seem to form a larger class. Finally, we consider subalgebras of the exceptional Lie algebra g2. Making use of computer programmes in 'reduce' we compute all the corresponding metrics on the quotient spaces associated with G2.

APA, Harvard, Vancouver, ISO, and other styles

8

Parmar, Vijay K. "Harmonic morphisms between semi-Riemannian manifolds." Thesis, University of Leeds, 1991. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305696.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Dahmani, Kamilia. "Weighted LP estimates on Riemannian manifolds." Thesis, Toulouse 3, 2018. http://www.theses.fr/2018TOU30188/document.

Full text

Abstract:

Cette thèse s'inscrit dans le domaine de l'analyse harmonique et plus exactement, des estimations à poids. Un intérêt particulier est porté aux estimations Lp à poids des transformées de Riesz sur des variétés Riemanniennes complètes ainsi qu'à l'optimalité des résultats en terme de la puissance de la caractéristique des poids. On obtient un premier résultat (en terme de la linéarité et de la non dépendance de la dimension) sur des espaces pas nécessairement de type homogène, lorsque p = 2 et la courbure de Bakry-Emery est positive. On utilise pour cela une approche analytique en exhibant une fonction de Bellman concrète. Puis, en utilisant des techniques stochastiques et une domination éparse, on démontre que les transformées de Riesz sont bornées sur Lp, pour p ∈ (1, +∞) et on déduit également le résultat précèdent. Enfin, on utilise un changement élégant dans la preuve précèdente pour affaiblir l'hypothèse sur la courbure et la supposer minorée
The topics addressed in this thesis lie in the field of harmonic analysis and more pre- cisely, weighted inequalities. Our main interests are the weighted Lp-bounds of the Riesz transforms on complete Riemannian manifolds and the sharpness of the bounds in terms of the power of the characteristic of the weights. We first obtain a linear and dimensionless result on non necessarily homogeneous spaces, when p = 2 and the Bakry-Emery curvature is non-negative. We use here an analytical approach by exhibiting a concrete Bellman function. Next, using stochastic techniques and sparse domination, we prove that the Riesz transforms are Lp-bounded for p ∈ (1, +∞) and obtain the previous result for free. Finally, we use an elegant change in the precedent proof to weaken the condition on the curvature and assume it is bounded from below

APA, Harvard, Vancouver, ISO, and other styles

10

Ndiaye, Cheikh Birahim. "Geometric PDEs on compact Riemannian manifolds." Doctoral thesis, SISSA, 2007. http://hdl.handle.net/20.500.11767/4088.

Full text

Abstract:

In this thesis, some nonlinear problems coming from conformal geometry and physics, namely the prescription of Q-curvature, T-curvature ones and the generalized 2×2 Toda system are studied. We study also the existence of extremal functions of two Moser-Trudinger type inequalities (which is a common feature of those problems) due to Fontana[40] and Chang-Yang[23].

APA, Harvard, Vancouver, ISO, and other styles

More sources

Books on the topic "Riemannian manifolds"

1

Lee, John M. Riemannian Manifolds. New York, NY: Springer New York, 1997. http://dx.doi.org/10.1007/b98852.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Lee, John M. Introduction to Riemannian Manifolds. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-91755-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Tondeur, Philippe. Foliations on Riemannian Manifolds. New York, NY: Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4613-8780-0.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Lang, Serge, ed. Differential and Riemannian Manifolds. New York, NY: Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-4182-9.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Tondeur, Philippe. Foliations on Riemannian manifolds. New York: Springer-Verlag, 1988.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

6

Lang, Serge. Differential and Riemannian manifolds. New York: Springer-Verlag, 1995.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

7

Hebey, Emmanuel. Sobolev Spaces on Riemannian Manifolds. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996. http://dx.doi.org/10.1007/bfb0092907.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Berestovskii, Valerii, and Yurii Nikonorov. Riemannian Manifolds and Homogeneous Geodesics. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56658-6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Min, Ji. Minimal surfaces in Riemannian manifolds. Providence, R.I: American Mathematical Society, 1993.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

10

Hebey, Emmanuel. Sobolev spaces on Riemannian manifolds. Berlin: Springer-Verlag, 1996.

Find full text

APA, Harvard, Vancouver, ISO, and other styles

More sources

Book chapters on the topic "Riemannian manifolds"

1

Torres del Castillo, Gerardo F. "Riemannian Manifolds." In Differentiable Manifolds, 115–60. Boston: Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8271-2_6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Torres del Castillo, Gerardo F. "Riemannian Manifolds." In Differentiable Manifolds, 141–202. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-45193-6_6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Godinho, Leonor, and José Natário. "Riemannian Manifolds." In Universitext, 95–122. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-08666-8_3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

DeWitt, Bryce, and Steven M. Christensen. "Riemannian Manifolds." In Bryce DeWitt's Lectures on Gravitation, 51–62. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-540-36911-0_4.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Saller, Heinrich. "Riemannian Manifolds." In Operational Spacetime, 29–80. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-0898-8_3.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Wells, Raymond O. "Riemannian Manifolds." In Differential and Complex Geometry: Origins, Abstractions and Embeddings, 187–210. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-58184-2_13.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Burago, Yuriĭ Dmitrievich, and Viktor Abramovich Zalgaller. "Riemannian Manifolds." In Geometric Inequalities, 232–99. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/978-3-662-07441-1_6.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Berestovskii, Valerii, and Yurii Nikonorov. "Riemannian Manifolds." In Springer Monographs in Mathematics, 1–74. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-56658-6_1.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Kühnel, Wolfgang. "Riemannian manifolds." In The Student Mathematical Library, 189–224. Providence, Rhode Island: American Mathematical Society, 2005. http://dx.doi.org/10.1090/stml/016/05.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Aubin, Thierry. "Riemannian manifolds." In Graduate Studies in Mathematics, 111–67. Providence, Rhode Island: American Mathematical Society, 2000. http://dx.doi.org/10.1090/gsm/027/06.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Riemannian manifolds"

1

Zhu, Pengfei, Hao Cheng, Qinghua Hu, Qilong Wang, and Changqing Zhang. "Towards Generalized and Efficient Metric Learning on Riemannian Manifold." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. California: International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/449.

Full text

Abstract:

Modeling data as points on non-linear Riemannian manifold has attracted increasing attentions in many computer vision tasks, especially visual recognition. Learning an appropriate metric on Riemannian manifold plays a key role in achieving promising performance. For widely used symmetric positive definite (SPD) manifold and Grassmann manifold, most of existing metric learning methods are designed for one manifold, and are not straightforward for the other one. Furthermore, optimizations in previous methods usually rely on computationally expensive iterations. To address above limitations, this paper makes an attempt to propose a generalized and efficient Riemannian manifold metric learning (RMML) method, which can be flexibly adopted to both SPD and Grassmann manifolds. By minimizing the geodesic distance of similar pairs and the interpoint geodesic distance of dissimilar ones on nonlinear manifolds, the proposed RMML is optimized by computing the geodesic mean between inverse of similarity matrix and dissimilarity matrix, benefiting a global closed-form solution and high efficiency. The experiments are conducted on various visual recognition tasks, and the results demonstrate our RMML performs favorably against its counterparts in terms of both accuracy and efficiency.

APA, Harvard, Vancouver, ISO, and other styles

2

OU, YE-LIN. "BIHARMONIC MORPHISMS BETWEEN RIEMANNIAN MANIFOLDS." In Differential Geometry in Honor of Professor S S Chern. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792051_0018.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Snoussi, Hichem, and Ali Mohammad-Djafari. "Particle Filtering on Riemannian Manifolds." In Bayesian Inference and Maximum Entropy Methods In Science and Engineering. AIP, 2006. http://dx.doi.org/10.1063/1.2423278.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

KASHANI, S. M. B. "ON COHOMOGENEITY ONE RIEMANNIAN MANIFOLDS." In Proceedings of the Summer School. WORLD SCIENTIFIC, 2001. http://dx.doi.org/10.1142/9789812810571_0010.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Brendle, Simon, and Richard Schoen. "Riemannian Manifolds of Positive Curvature." In Proceedings of the International Congress of Mathematicians 2010 (ICM 2010). Published by Hindustan Book Agency (HBA), India. WSPC Distribute for All Markets Except in India, 2011. http://dx.doi.org/10.1142/9789814324359_0021.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Elworthy, K. D., and Feng-Yu Wang. "Essential spectrum on Riemannian manifolds." In Proceedings of the First Sino-German Conference on Stochastic Analysis (A Satellite Conference of ICM 2002). WORLD SCIENTIFIC, 2004. http://dx.doi.org/10.1142/9789812702241_0010.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

Yi Wu, Bo Wu, Jia Liu, and Hanqing Lu. "Probabilistic tracking on Riemannian manifolds." In 2008 19th International Conference on Pattern Recognition (ICPR). IEEE, 2008. http://dx.doi.org/10.1109/icpr.2008.4761046.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Jacobs, H., S. Nair, and J. Marsden. "Multiscale surveillance of Riemannian manifolds." In 2010 American Control Conference (ACC 2010). IEEE, 2010. http://dx.doi.org/10.1109/acc.2010.5531152.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Yang, Hyun Seok. "Riemannian Manifolds and Gauge Theory." In Proceedings of the Corfu Summer Institute 2011. Trieste, Italy: Sissa Medialab, 2012. http://dx.doi.org/10.22323/1.155.0063.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Lee, Sangyul, and Hee-Seok Oh. "Robust Multivariate Regression on Riemannian Manifolds." In 2020 IEEE 7th International Conference on Data Science and Advanced Analytics (DSAA). IEEE, 2020. http://dx.doi.org/10.1109/dsaa49011.2020.00099.

Full text

APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Riemannian manifolds"

1

Bozok, Hülya Gün. Bi-slant Submersions from Kenmotsu Manifolds onto Riemannian Manifolds. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, March 2020. http://dx.doi.org/10.7546/crabs.2020.03.05.

Full text

APA, Harvard, Vancouver, ISO, and other styles

2

Chiang, Yuan-Jen. f-biharmonic Maps Between Riemannian Manifolds. GIQ, 2013. http://dx.doi.org/10.7546/giq-14-2013-74-86.

Full text

APA, Harvard, Vancouver, ISO, and other styles

3

Dušek, Zdenek. Examples of Pseudo-Riemannian G.O. Manifolds. GIQ, 2012. http://dx.doi.org/10.7546/giq-8-2007-144-155.

Full text

APA, Harvard, Vancouver, ISO, and other styles

4

Chiang, Yuan-Jen. f-biharmonic Maps Between Riemannian Manifolds. Journal of Geometry and Symmetry in Physics, 2012. http://dx.doi.org/10.7546/jgsp-27-2012-45-58.

Full text

APA, Harvard, Vancouver, ISO, and other styles

5

Mirzaei, Reza. Cohomogeneity Two Riemannian Manifolds of Non-Positive Curvature. GIQ, 2012. http://dx.doi.org/10.7546/giq-13-2012-233-244.

Full text

APA, Harvard, Vancouver, ISO, and other styles

6

Iyer, R. V., R. Holsapple, and D. Doman. Optimal Control Problems on Parallelizable Riemannian Manifolds: Theory and Applications. Fort Belvoir, VA: Defense Technical Information Center, January 2002. http://dx.doi.org/10.21236/ada455175.

Full text

APA, Harvard, Vancouver, ISO, and other styles

7

R. Mirzaie. Topological Properties of Some Cohomogeneity on Riemannian Manifolds of Nonpositive Curvature. GIQ, 2012. http://dx.doi.org/10.7546/giq-3-2002-351-359.

Full text

APA, Harvard, Vancouver, ISO, and other styles

8

Tanimura, Shogo. Path Integrals on Riemannian Manifolds with Symmetry and Stratified Gauge Structure. GIQ, 2012. http://dx.doi.org/10.7546/giq-3-2002-431-441.

Full text

APA, Harvard, Vancouver, ISO, and other styles

9

Zohrehvand, Mosayeb. IFHP Transformations on the Tangent Bundle of a Riemannian Manifold with a Class of Pseudo-Riemannian Metrics. "Prof. Marin Drinov" Publishing House of Bulgarian Academy of Sciences, February 2020. http://dx.doi.org/10.7546/crabs.2020.02.04.

Full text

APA, Harvard, Vancouver, ISO, and other styles

10

Sirley Marques-Bonham. A new way to interpret the Dirac equation in a non-Riemannian manifold. Office of Scientific and Technical Information (OSTI), June 1989. http://dx.doi.org/10.2172/6026405.

Full text

APA, Harvard, Vancouver, ISO, and other styles

We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!