Structure of fundamental groups of manifolds with Ricci curvature bounded below

Structure of fundamental groups of manifolds with Ricci curvature bounded below
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发表时间:
2011-05
期刊:
arXiv: Differential Geometry
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通讯作者:
V. Kapovitch;Burkhard Wilking
V. Kapovitch;Burkhard Wilking
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其他
文献类型:
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作者:
V. Kapovitch;Burkhard Wilking

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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.