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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