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On the fundamental group of manifolds with almost nonnegative Ricci curvature


Author: Seong-Hun Paeng
Journal: Proc. Amer. Math. Soc. 131 (2003), 2577-2583
MSC (2000): Primary 53C20
Published electronically: February 26, 2003
MathSciNet review: 1974658
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Abstract: Gromov conjectured that the fundamental group of a manifold with almost nonnegative Ricci curvature is almost nilpotent. This conjecture is proved under the additional assumption on the conjugate radius. We show that there exists a nilpotent subgroup of finite index depending on a lower bound of the conjugate radius.


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Additional Information

Seong-Hun Paeng
Affiliation: Department of Mathematics, Konkuk University, 1 Hwayang-dong, Gwangjin-gu, Seoul 143-701, Korea
Email: shpaeng@kkucc.konkuk.ac.kr

DOI: https://doi.org/10.1090/S0002-9939-03-06885-0
Keywords: Almost nilpotent group, almost nonnegative Ricci curvature
Received by editor(s): October 16, 2000
Received by editor(s) in revised form: August 23, 2001
Published electronically: February 26, 2003
Additional Notes: This work was partially supported by KIAS and by grant No.1999-2-102-002-3 from the interdisciplinary research program of the KOSEF
Communicated by: Wolfgang Ziller
Article copyright: © Copyright 2003 American Mathematical Society