Structure of fundamental groups of manifolds with Ricci curvature bounded below

Abstract

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.

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

References in corpus (1)

• Sharp Hölder continuity of tangent cones for spaces with a lower Ricci curvature bound and applications

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