Gromov's compactness theorem (geometry) | Wikipedia audio article
Channel: wikipedia tts
Date: 2018-12-31

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Gromov%27s_compactness_theorem_(geometry)





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SUMMARY
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In Riemannian geometry, Gromov's (pre)compactness theorem states that the set of compact Riemannian manifolds of a given dimension, with Ricci curvature ≥ c and diameter ≤ D is relatively compact in the Gromov–Hausdorff metric. It was proved by Mikhail Gromov in 1981.This theorem is a generalization of Myers's theorem.