On the fundamental group of manifolds with almost nonnegative Ricci curvature

Paeng, Seong-Hun

doi:10.1090/S0002-9939-03-06885-0

On the fundamental group of manifolds with almost nonnegative Ricci curvature
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by Seong-Hun Paeng

Proc. Amer. Math. Soc. 131 (2003), 2577-2583

DOI: https://doi.org/10.1090/S0002-9939-03-06885-0

Published electronically: February 26, 2003

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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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