A Myers-type theorem and compact Ricci solitons

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dc.creatorDerdzinski, Andrzej
dc.date2004-03-02
dc.date.accessioned2026-07-07T06:31:11Z
dc.date.available2026-07-07T06:31:11Z
dc.descriptionLet 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.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math/0403052
dc.identifierhttp://arxiv.org/abs/math/0403052
dc.identifierProc. Amer. Math. Soc. 134 (2006), no. 12, 3645-3648
dc.identifierdoi:10.1090/S0002-9939-06-08422-X
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98535
dc.subjectDifferential Geometry
dc.subject53C25; 53C21
dc.titleA Myers-type theorem and compact Ricci solitons
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