Convergence of isometries, with semicontinuity of symmetry of Alexandrov spaces

DOI10.1090/PROC/12994zbMath1339.53042arXiv1501.03948OpenAlexW1922197413MaRDI QIDQ2809205

John Harvey

Publication date: 27 May 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.03948

zbMATH Keywords

symmetriesisometry groupsLie homomorphismsconvergence of metric spaces

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Related Items (1)

Invariant measures and lower Ricci curvature bounds

Cites Work

• Unnamed Item
• Group actions and curvature
• Degenerations of the hyperbolic space
• Bounding homotopy types by geometry
• Topologie de Gromov équivariante, structures hyperboliques et arbres réels. (Equivariant Gromov topology, hyperbolic structures, and \({\mathbb{R}}\)-trees)
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Volume comparison à la Aleksandrov
• The fundamental groups of almost nonnegatively curved manifolds
• Crosscap stability
• Hard and soft packing radius theorems
• Describing the universal cover of a compact limit
• A.D. Alexandrov spaces with curvature bounded below
• Isometry groups of Alexandrov spaces
• Sobolev spaces, Laplacian, and heat kernel on Alexandrov spaces

This page was built for publication: Convergence of isometries, with semicontinuity of symmetry of Alexandrov spaces