Results 21 to 30 of about 68,458 (245)
Riemannian simplices and triangulations [PDF]
, 2014 We study a natural intrinsic definition of geometric simplices in Riemannian manifolds of arbitrary dimension $n$, and exploit these simplices to obtain criteria for triangulating compact Riemannian manifolds.
Dyer, Ramsay +2 more
core +5 more sources
Miskolc Mathematical Notes, 2017 As a generalization of semi-invariant Riemannian maps from almost Hermitian manifols, we first introduce generic Riemannian maps from almost Hermitian manifolds to Riemannian manifolds, give examples, obtain decomposition theorems and investigate harmonicity and totally geodesicity of such maps.
openaire +2 more sources
Mass Transportation on Sub-Riemannian Manifolds [PDF]
, 2009 We study the optimal transport problem in sub-Riemannian manifolds where the cost function is given by the square of the sub-Riemannian distance. Under appropriate assumptions, we generalize Brenier-McCann's Theorem proving existence and uniqueness of ...
A. Agrachev +30 more
core +7 more sources
The Gauss map of minimal surfaces in the Heisenberg group [PDF]
, 2010 We study the Gauss map of minimal surfaces in the Heisenberg group $\mathrm{Nil}_3$ endowed with a left-invariant Riemannian metric. We prove that the Gauss map of a nowhere vertical minimal surface is harmonic into the hyperbolic plane $\mathbb{H}^2 ...
Daniel, Benoît
core +4 more sources
Hyperelastic curves along Riemannian maps
Turkish Journal of Mathematics, 2022 Summary: The main purpose of this paper is to examine what kind of information the smooth Riemannian map defined between two Riemannian manifolds provides about the character of the Riemannian map when a horizontal hyperelastic curve on the total manifold is carried to a hyperelastic curve on the base manifold. For the solution of the mentioned problem,
TURHAN, Tunahan +2 more
openaire +4 more sources
International Journal of Mathematics and Mathematical Sciences, 2009 We generalize wave maps to biwave maps. We prove that the composition of a biwave map and a totally geodesic map is a biwave map. We give examples of biwave nonwave maps.
Yuan-Jen Chiang
doaj +1 more source
Positively Continuum-Wise Expansiveness for C1 Differentiable Maps
Mathematics, 2019 We show that if a differentiable map f of a compact smooth Riemannian manifold M is C 1 robustly positive continuum-wise expansive, then f is expanding.
Manseob Lee
doaj +1 more source
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
openaire +2 more sources
Spherical Ruled Surfaces in S3 Characterized by the Spherical Gauss Map
Mathematics, 2020 The Laplace operator on a Riemannian manifold plays an important role with eigenvalue problems and the spectral theory. Extending such an eigenvalue problem of smooth maps including the Gauss map, the notion of finite-type was introduced.
Young Ho Kim, Sun Mi Jung
doaj +1 more source
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
doaj +1 more source