Results 31 to 40 of about 4,865,824 (373)
Sublinearly Morse boundary, II: Proper geodesic spaces [PDF]
Geometry & Topology, 2020 We build an analogue of the Gromov boundary for any proper geodesic metric space, hence for any finitely generated group. More precisely, for any proper geodesic metric space $X$ and any sublinear function $\kappa$, we construct a boundary for $X ...
Yulan Qing, Kasra Rafi, G. Tiozzo
semanticscholar +1 more source
Non-positive curvature and the Ptolemy inequality [PDF]
, 2007 We provide examples of non-locally compact geodesic Ptolemy metric spaces which are not uniquely geodesic. On the other hand, we show that locally compact, geodesic Ptolemy metric spaces are uniquely geodesic.
A. Lytchak +3 more
core +1 more source
Revisiting geodesic observers in cosmology
European Physical Journal C: Particles and Fields, 2021 Geodesic observers in cosmology are revisited. The coordinates based on freely falling observers introduced by Gautreau in de Sitter and Einstein-de Sitter spaces (and, previously, by Gautreau and Hoffmann in Schwarzschild space) are extended to general ...
Geneviève Vachon +2 more
doaj +1 more source
Local symmetry of harmonic spaces as determined by the spectra of small geodesic spheres [PDF]
, 2011 We show that in any harmonic space, the eigenvalue spectra of the Laplace operator on small geodesic spheres around a given point determine the norm $|\nabla R|$ of the covariant derivative of the Riemannian curvature tensor in that point. In particular,
Arias-Marco, Teresa, Schueth, Dorothee
core +2 more sources
Spaces of geodesics: products, coverings, connectedness [PDF]
Geometriae Dedicata, 1996 We continue our study of the space of geodesics of a manifold with linear connection. We obtain sufficient conditions for a product to have a space of geodesics which is a manifold. We investigate the relationship of the space of geodesics of a covering manifold to that of the base space.
Beem, John K. +2 more
openaire +2 more sources
Some aspects of Isbell-convex quasi-metric spaces
Applied General Topology, 2018 We introduce and investigate the concept of geodesic bicombing in T0-quasi-metric spaces. We prove that any Isbell-convex T0-quasi-metric space admits a geodesic bicombing which satisfies the equivariance property.
Olivier Olela Otafudu
doaj +1 more source
Is the shell-focusing singularity of Szekeres space-time visible? [PDF]
, 2007 The visibility of the shell-focusing singularity in Szekeres space-time—which represents quasispherical dust collapse—has been studied on numerous occasions in the context of the cosmic censorship conjecture. The various results derived have assumed that
Debnath, Ujjal, Nolan, Brien C.
core +1 more source
Asymptotic behavior of resolvents of equilibrium problems on complete geodesic spaces
Demonstratio Mathematica, 2023 In this article, we discuss equilibrium problems and their resolvents on complete geodesic spaces. In particular, we consider asymptotic behavior and continuity of resolvents with positive parameter in a complete geodesic space whose curvature is bounded
Kimura Yasunori, Shindo Keisuke
doaj +1 more source
Fan’s inequality in geodesic spaces
Applied Mathematics Letters, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Niculescu, Constantin P. +1 more
openaire +1 more source
The Mann algorithm in a complete geodesic space with curvature bounded above
, 2013 The purpose of this paper is to prove two Δ-convergence theorems of the Mann algorithm to a common fixed point for a countable family of mappings in the case of a complete geodesic space with curvature bounded above by a positive number.
Y. Kimura +2 more
semanticscholar +1 more source