Killing–Hopf theorem
id:
killing-hopf-theorem-289-8419766
title:
Killing–Hopf theorem
text:
In geometry, the Killing–Hopf theorem states that complete connected Riemannian manifolds of constant curvature are isometric to a quotient of a sphere, Euclidean space, or hyperbolic space by a group acting freely and properly discontinuously. These manifolds are called space forms. The Killing–Hopf theorem was proved by Killing (1891) and Hopf (1926).
brand slug:
wiki
category slug:
encyclopedia
description:
Characterizes complete connected Riemannian manifolds of constant curvature
original url:
https://en.wikipedia.org/wiki/Killing%E2%80%93Hopf_theorem
date created:
date modified:
2023-08-12T00:18:38Z
main entity:
{"identifier":"Q6407842","url":"https://www.wikidata.org/entity/Q6407842"}
image:
fields total:
13
integrity:
14