Results 21 to 30 of about 425,328 (236)
On the projections of Laplacians under Riemannian submersions
International Journal of Mathematics and Mathematical Sciences, 2001 We give a condition on Riemannian submersions from a Riemannian manifold M to a Riemannian manifold N which will ensure that it induces a differential operator on N from the Laplace-Beltrami operator on M.
Huiling Le
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Towards Generalized and Efficient Metric Learning on Riemannian Manifold
International Joint Conference on Artificial Intelligence, 2018 Modeling data as points on non-linear Riemannian manifold has attracted increasing attentions in many computer vision tasks, especially visual recognition.
Peng Fei Zhu +4 more
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Simplexes in Riemannian manifolds [PDF]
Proceedings of the American Mathematical Society, 1993 Existence of a simplex with prescribed edge lengths in Euclidean, spherical, and hyperbolic spaces was studied recently. A simple sufficient condition of this existence is, roughly speaking, that the lengths do not differ too much. We extend these results to Riemannian n n -manifolds M n
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A General Metric for Riemannian Manifold Hamiltonian Monte Carlo [PDF]
International Conference on Geometric Science of Information, 2012 Markov Chain Monte Carlo (MCMC) is an invaluable means of inference with complicated models, and Hamiltonian Monte Carlo, in particular Riemannian Manifold Hamiltonian Monte Carlo (RMHMC), has demonstrated success in many challenging problems.
M. Betancourt
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On biparabolicity of Riemannian manifolds
Revista Matemática Iberoamericana, 2019 A Riemannian manifold is called biparabolic if any positive bisuperharmonic function is harmonic. We provide a criterion of biparabolicity in terms of the Green function of the Laplacian, as well as a sharp sufficient condition for biparabolicity in terms of the volume growth function.
Faraji, Shokoufe, Grigoryan, Alexander
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Biharmonic maps from a complete Riemannian manifold into a non-positively curved manifold [PDF]
, 2013 We consider biharmonic maps $$\phi :(M,g)\rightarrow (N,h)$$ϕ:(M,g)→(N,h) from a complete Riemannian manifold into a Riemannian manifold with non-positive sectional curvature. Assume that $$ p $$p satisfies $$ 2\le p
S. Maeta
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A (CHR)3-flat trans-Sasakian manifold
Pracì Mìžnarodnogo Geometričnogo Centru, 2019 In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
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Contact-Complex Riemannian Submersions
Mathematics, 2021 A submersion from an almost contact Riemannian manifold to an almost Hermitian manifold, acting on the horizontal distribution by preserving both the metric and the structure, is, roughly speaking a contact-complex Riemannian submersion. This paper deals
Cornelia-Livia Bejan +2 more
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Sub-Manifolds of a Riemannian Manifold
, 2017 WOS:000411974300004 In this chapter, we introduce the theory of sub-manifolds of a Riemannian manifold. The fundamental notations are given. The theory of sub-manifolds of an almost Riemannian product manifold is one of the most interesting topics in differential geometry. According to the behaviour of the tangent bundle of a sub-manifold, with respect
Atceken, Mehmet +2 more
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Polypotentials on a Riemannian manifold
Journal of Mathematical Analysis and Applications, 2010 AbstractPolyharmonic functions are considered on open sets in a Riemannian manifold R and their potential-theoretic properties are studied using the notion of complete m-potentials. Also one obtains here some characterizations of domains in R on which such complete m-potentials exist.
M. Damlakhi, S. Alhemedan
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