The isometry groups of compact manifolds with negative Ricci curvature-Reference-Cited by-同舟云学术

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The isometry groups of compact manifolds with negative Ricci curvature

Published:1988 Issue:2 Volume:104 Page:587-588
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Katsuda Atsushi

Abstract

We estimate the order of the isometry groups of compact manifolds with negative Ricci curvature in terms of geometric quantities: the sectional curvature, the Ricci curvature, the diameter, and the injectivity radius.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1988-104-02/S0002-9939-1988-0962832-5/S0002-9939-1988-0962832-5.pdf

Reference9 articles.

1. Energy spectrum of certain harmonic mappings;Adachi, Toshiaki;Compositio Math.,1985

2. Vector fields and Ricci curvature;Bochner, S.;Bull. Amer. Math. Soc.,1946

3. P. Buser and H. Karcher, Gromov’s almost flat manifolds, Astérisque 81 (1981).

4. North-Holland Mathematical Library, Vol. 9;Cheeger, Jeff,1975

5. Textes Math\'{e}matiques [Mathematical Texts];Gromov, Mikhael,1981

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1. New Bochner type theorems;Mathematische Annalen;2023-04-15

2. Conjugate radius and isometry group of a manifold with negative Ricci curvature;Bulletin of the Australian Mathematical Society;1999-02

3. Groups of transformations of Riemannian manifolds;Journal of Soviet Mathematics;1991-07

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