Results 51 to 60 of about 48,546 (184)
Holonomy algebras of Einstein pseudo-Riemannian manifolds
, 2018 The holonomy algebras of Einstein not Ricci-flat pseudo-Riemannian manifolds of arbitrary signature are classified. As illustrating examples, the cases of Lorentzian manifolds, pseudo-Riemannian manifolds of signature $(2,n)$ and the para-quaternionic-K\"
Galaev, Anton S.
core +1 more source
SDFs from Unoriented Point Clouds using Neural Variational Heat Distances
Computer Graphics Forum, EarlyView.We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from unoriented point clouds. We first compute a small time step of heat flow (middle) and then use its gradient directions to solve for a neural SDF (right). Abstract We propose a novel variational approach for computing neural Signed Distance Fields (SDF) from ...
Samuel Weidemaier +5 more
wiley +1 more source
Quantitative Bi-Lipschitz embeddings of bounded curvature manifolds and orbifolds
, 2017 We construct bi-Lipschitz embeddings into Euclidean space for manifolds and orbifolds of bounded diameter and curvature. The distortion and dimension of such embeddings is bounded by diameter, curvature and dimension alone.
Eriksson-Bique, Sylvester
core +1 more source
A Note on Constant Mean Curvature Foliations of Noncompact Riemannian Manifolds
International Journal of Mathematics and Mathematical Sciences, 2022 We aimed to study constant mean curvature foliations of noncompact Riemannian manifolds, satisfying some geometric constraints. As a byproduct, we answer a question by M. P. do Carmo (see Introduction) about the leaves of such foliations.
S. Ilias, B. Nelli, M. Soret
doaj +1 more source
Spatial depth for data in metric spaces
Scandinavian Journal of Statistics, EarlyView.Abstract We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution, allowing quantifying their centrality/outlyingness.
Joni Virta
wiley +1 more source
A Note on the Characterization of Two-Dimensional Quasi-Einstein Manifolds
Mathematics, 2020 In this article, we aim to introduce new classes of two-dimensional quasi-Einstein pseudo-Riemannian manifolds with constant curvature. We also give a classification of 2D quasi-Einstein manifolds of warped product type working in local coordinates.
Gabriel Bercu
doaj +1 more source
Simply connected Alexandrov 4-manifolds with positive or nonnegative curvature and torus actions [PDF]
, 2013 We point out that a 4-dimensional topological manifold with an Alexandrov metric (of curvature bounded below) and with an effective, isometric action of the circle or the 2-torus is locally smooth.
Galaz-Garcia, Fernando
core
A note on curvature of Riemannian manifolds
Journal of Mathematical Analysis and Applications, 2013 Abstract With the aid of the weak maximum principle at infinity we give some sufficient conditions for Riemannian manifolds to be either Einstein or of constant sectional curvature.
P. Mastrolia, D.D. Monticelli, M. Rigoli
openaire +1 more source
Isoperimetric inequalities on slabs with applications to cubes and Gaussian slabs
Communications on Pure and Applied Mathematics, Volume 79, Issue 4, Page 1012-1072, April 2026.Abstract We study isoperimetric inequalities on “slabs”, namely weighted Riemannian manifolds obtained as the product of the uniform measure on a finite length interval with a codimension‐one base. As our two main applications, we consider the case when the base is the flat torus R2/2Z2$\mathbb {R}^2 / 2 \mathbb {Z}^2$ and the standard Gaussian measure
Emanuel Milman
wiley +1 more source
Total curvature of curves in Riemannian manifolds
Differential Geometry and its Applications, 2010 The global properties of the curvature of curves embedded in \({\mathbb{R}}^2\) or in \({\mathbb{R}}^3\) have been studied in many papers. In the present paper, these properties are studied for curves embedded in arbitrary Riemannian manifolds. The integral curvature of a curve is approached using geodesic polygons inscribed in the curve.
Castrillón López, M. +2 more
openaire +1 more source