Complete gradient shrinking Ricci solitons have finite topological type

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dc.creatorFang, Fuquan
dc.creatorman, Jianwen
dc.creatorZhang, Zhenlei
dc.date2007-12-31
dc.date.accessioned2026-07-07T08:51:55Z
dc.date.available2026-07-07T08:51:55Z
dc.descriptionWe show that a complete Riemannian manifold has finite topological type (i.e., homeomorphic to the interior of a compact manifold with boundary), provided its Bakry-Émery Ricci tensor has a positive lower bound, and either of the following conditions: (i) the Ricci curvature is bounded from above; (ii) the Ricci curvature is bounded from below and injectivity radius is bounded away from zero. Moreover, a complete shrinking Ricci soliton has finite topological type if its scalar curvature is bounded.
dc.identifierhttps://arxiv.org/abs/0801.0103
dc.identifierhttp://arxiv.org/abs/0801.0103
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145103
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.titleComplete gradient shrinking Ricci solitons have finite topological type
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