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Conjugate radius and isometry group of a manifold with negative Ricci curvature

Published online by Cambridge University Press:  17 April 2009

Seong-Hun Paeng
Seong-Hun Paeng
Affiliation:
Korea Institute for Advanced Study, 207–43 Cheongryangri-Dong, Dongdaemun-Gu, Seoul 130–012, Korea e-mail: shpaeng@kias.re.kr
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Abstract

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It is known that the order of the isometry group on a compact Riemannian manifold with negative Ricci curvature is finite. We show by local nilpotent structures that a bound on the orders of the isometry groups exists depending only on the Ricci curvature, the conjugate radius and the diameter.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 59 , Issue 1 , February 1999 , pp. 133 - 138
Copyright
Copyright © Australian Mathematical Society 1999

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