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Gromov's compactness theorem (geometry)
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Gromov's compactness theorem (geometry) : ウィキペディア英語版
Gromov's compactness theorem (geometry)

In Riemannian geometry, Gromov's (pre)compactness theorem states that the set of 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.〔〔. As cited by .〕
This theorem is a generalization of the Myers theorem.〔.〕
==References==


抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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