Myers–Steenrod theorem
id:
myers-steenrod-theorem-314-2781130
title:
Myers–Steenrod theorem
text:
Two theorems in the mathematical field of Riemannian geometry bear the name Myers–Steenrod theorem, both from a 1939 paper by Myers and Steenrod. The first states that every distance-preserving map between two connected Riemannian manifolds is a smooth isometry of Riemannian manifolds. A simpler proof was subsequently given by Richard Palais in 1957. The main difficulty lies in showing that a distance-preserving map, which is a priori only continuous, is actually differentiable. The second theor
brand slug:
wiki
category slug:
encyclopedia
description:
The isometry group of a Riemannian manifold is a Lie group
original url:
https://en.wikipedia.org/wiki/Myers%E2%80%93Steenrod_theorem
date created:
date modified:
2023-08-12T00:26:58Z
main entity:
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image:
fields total:
13
integrity:
14