Gromov's compactness theorem (geometry)
id:
gromov-s-compactness-theorem-geometry-291-14272345
title:
Gromov's compactness theorem (geometry)
text:
In the mathematical field of metric geometry, Mikhael Gromov proved a fundamental compactness theorem for sequences of metric spaces. In the special case of Riemannian manifolds, the key assumption of his compactness theorem is automatically satisfied under an assumption on Ricci curvature. These theorems have been widely used in the fields of geometric group theory and Riemannian geometry.
brand slug:
wiki
category slug:
encyclopedia
description:
On when a set of compact Riemannian manifolds of a given dimension is relatively compact
original url:
https://en.wikipedia.org/wiki/Gromov%27s_compactness_theorem_(geometry)
date created:
date modified:
2023-07-29T14:14:34Z
main entity:
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image:
fields total:
13
integrity:
14