Bochner–Yano theorem
From HandWiki
Short description: Isometry group of a compact Riemannian manifold with negative Ricci curvature is finite
In differential geometry, the Bochner–Yano theorem states that the isometry group of a compact Riemannian manifold with negative Ricci curvature is finite. It is named after its publication by Salomon Bochner and Kentaro Yano (1953).
References
- Bochner, S.; Yano, K. (1953), Curvature and Betti numbers, Annals of Mathematics Studies, 32, Princeton University Press, ISBN 978-0-691-09583-7
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