Sharafutdinov's retraction
id:
sharafutdinov-s-retraction-300-8748156
title:
Sharafutdinov's retraction
text:
In mathematics, Sharafutdinov's retraction is a construction that gives a retraction of an open non-negatively curved Riemannian manifold onto its soul. It was first used by Sharafutdinov to show that any two souls of a complete Riemannian manifold with non-negative sectional curvature are isometric. Perelman later showed that in this setting, Sharafutdinov's retraction is in fact a submersion, thereby essentially settling the soul conjecture. For open non-negatively curved Alexandrov space, Per
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https://en.wikipedia.org/wiki/Sharafutdinov%27s_retraction
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date modified:
2023-08-12T00:18:45Z
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