Gromov's compactness theorem (geometry)

Gromov's compactness theorem (geometry)

:"For Gromov's compactness theorem in symplectic topology, see that article."

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.

This theorem is a generalization of the Myers_theorem.


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