A Myers-type theorem and compact Ricci solitons
A Myers-type theorem and compact Ricci solitons
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DOI：
10.1090/s0002-9939-06-08422-x
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发表时间：
2004-03
期刊：
影响因子：
3.3
通讯作者：
A. Derdzinski
中科院分区：
文献类型：
--
作者：
A. Derdzinski
设紧致黎曼流形的Ricci曲率在任何一点都大于度量关于某一固定光滑向量场的Lie导数。证明了基本群只有有限多个共轭类。这尤其适用于所有紧致收缩的利玛窦孤子。
Let the Ricci curvature of a compact Riemannian manifold be greater, at every point, than the Lie derivative of the metric with respect to some fixed smooth vector field. It is shown that the fundamental group then has only finitely many conjugacy classes. This applies, in particular, to all compact shrinking Ricci solitons.