On the fundamental group of manifolds with almost nonnegative Ricci curvature
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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.References
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Additional Information
- Seong-Hun Paeng
- Affiliation: Department of Mathematics, Konkuk University, 1 Hwayang-dong, Gwangjin-gu, Seoul 143-701, Korea
- MR Author ID: 603263
- Email: shpaeng@kkucc.konkuk.ac.kr
- 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
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 2577-2583
- MSC (2000): Primary 53C20
- DOI: https://doi.org/10.1090/S0002-9939-03-06885-0
- MathSciNet review: 1974658