Results 21 to 30 of about 161 (146)
Geodesic Learning With Uniform Interpolation on Data Manifold
IEEE Access, 2022 Recently with the development of deep learning on data representation and generation, how to sampling on a data manifold becomes a crucial problem for research.
Cong Geng +3 more
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Implicit Riemannian Concave Potential Maps
CoRR, 2021 We are interested in the challenging problem of modelling densities on Riemannian manifolds with a known symmetry group using normalising flows. This has many potential applications in physical sciences such as molecular dynamics and quantum simulations. In this work we combine ideas from implicit neural layers and optimal transport theory to propose a
Danilo J. Rezende, Sébastien Racanière
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Epsilon Nielsen fixed point theory
Fixed Point Theory and Applications, 2006 Let f:X→X be a map of a compact, connected Riemannian manifold, with or without boundary. For ∈>0 sufficiently small, we introduce an ∈-Nielsen number N∈(f) that is a lower bound for the number of fixed points of all self-maps of X ...
Robert F. Brown
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Biharmonic maps on V-manifolds
International Journal of Mathematics and Mathematical Sciences, 2001 We generalize biharmonic maps between Riemannian manifolds into the case of the domain being V-manifolds. We obtain the first and second variations of biharmonic maps on V-manifolds.
Yuan-Jen Chiang, Hongan Sun
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On Certain Mappings of Riemannian Manifolds [PDF]
Nagoya Mathematical Journal, 1965 In this paper we consider certain tensors associated with differentiable mappings of Riemannian manifolds and apply the results to a p-mapping, which is a special case of a subprojective one in affinely connected manifolds (cf. [1], [7]). The p-mapping in Riemannian manifolds is a generalization of a conformal mapping and a projective one. From a point
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A note on geodesic and almost geodesic mappings of homogeneous Riemannian manifolds [PDF]
Opuscula Mathematica, 2005 Let \(M\) be a differentiable manifold and denote by \(\nabla\) and \(\tilde{\nabla}\) two linear connections on \(M\). \(\nabla\) and \(\tilde{\nabla}\) are said to be geodesically equivalent if and only if they have the same geodesics.
Stanisław Formella
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Estimates by gap potentials of free homotopy decompositions of critical Sobolev maps
Advances in Nonlinear Analysis, 2019 A free homotopy decomposition of any continuous map from a compact Riemannian manifold 𝓜 to a compact Riemannian manifold 𝓝 into a finite number maps belonging to a finite set is constructed, in such a way that the number of maps in this free homotopy ...
Schaftingen Jean Van
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Empirical Means on Pseudo-Orthogonal Groups
Mathematics, 2019 The present article studies the problem of computing empirical means on pseudo-orthogonal groups. To design numerical algorithms to compute empirical means, the pseudo-orthogonal group is endowed with a pseudo-Riemannian metric that affords the ...
Jing Wang, Huafei Sun, Simone Fiori
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Critical mappings of Riemannian manifolds [PDF]
Transactions of the American Mathematical Society, 1979 We consider maps, from one Riemannian manifold to another, which are critical for all invariantly defined functionals on the space of maps. There are many such critical mappings, perhaps too numerous to suitably classify, although a characterization of sorts is provided.
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F-biharmonic maps into general Riemannian manifolds
Open Mathematics, 2019 Let ψ:(M, g) → (N, h) be a map between Riemannian manifolds (M, g) and (N, h).
Mi Rong
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