Structure of fundamental groups of manifolds with Ricci curvature bounded below

Details Structure of fundamental groups of manifolds with Ricci curvature bounded below Structure of fundamental groups of manifolds with Ricci curvature bounded below

2011-05-30

arxiv.org/abs/1105.5955v2

Mathematics

Differential Geometry

49 p.,some typos removed, more details in section 1 and in the proof of Lemma 3.4

Scientific paper

Verifying a conjecture of Gromov we establish a generalized Margulis Lemma
for manifolds with lower Ricci curvature bound. Among the various applications
are finiteness results for fundamental groups of compact $n$-manifolds with
upper diameter and lower Ricci curvature bound modulo nilpotent normal
subgroups.

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