Gromov's compactness theorem (geometry)
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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.[1][2] It was proved by Mikhail Gromov.[2][3]
This theorem is a generalization of the Myers theorem.[4]
References
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