Berger's isoembolic inequality
id:
berger-s-isoembolic-inequality-247-8699535
title:
Berger's isoembolic inequality
text:
In mathematics, Berger's isoembolic inequality is a result in Riemannian geometry that gives a lower bound on the volume of a Riemannian manifold and also gives a necessary and sufficient condition for the manifold to be isometric to the m-dimensional sphere with its usual "round" metric. The theorem is named after the mathematician Marcel Berger, who derived it from an inequality proved by Jerry Kazdan.
brand slug:
wiki
category slug:
encyclopedia
description:
Gives a lower bound on the volume of a Riemannian manifold
original url:
https://en.wikipedia.org/wiki/Berger%27s_isoembolic_inequality
date created:
date modified:
2023-08-12T00:27:30Z
main entity:
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image:
fields total:
13
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14