Tohoku Mathematical Journal
2006
June
SECOND SERIES VOL. 58, NO. 2

Tohoku Math. J.
58 (2006), 219-229

Title ISOMETRY GROUPS OF RIEMANNIAN MANIFOLDS WITH BOUNDED NORMS

Author Seong-Hun Paeng

(Received May 6, 2004, revised September 29, 2005)
Abstract. We generalize several results on the order of the isometry group of a compact manifold with negative Ricci curvature proved by Dai et al. under the assumption of bounded norm and an integral curvature bound. We also show that there exists a bound on the order of the isometry group depending on the weak norm of $M$.

2000 Mathematics Subject Classification. 53C20.
Key words and phrases. Weak norm, killing vector field, isometry group.

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