Counting open negatively curved manifolds up to tangential homotopy equivalence

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dc.creatorBelegradek, Igor
dc.date1998-09-03
dc.date.accessioned2026-07-07T05:25:52Z
dc.date.available2026-07-07T05:25:52Z
dc.descriptionUnder mild assumptions on a group G, we prove that the class of complete Riemannian n-manifolds of uniformly bounded negative sectional curvatures and with the fundamental groups isomorphic to G breaks into finitely many tangential homotopy types. It follows that many aspherical manifolds do not admit complete negatively curved metrics with prescribed curvature bounds.
dc.description22 pages, no figures; to appear in Journal of Differential Geometry
dc.identifierhttps://arxiv.org/abs/math/9809014
dc.identifierhttp://arxiv.org/abs/math/9809014
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77348
dc.subjectDifferential Geometry
dc.subjectGroup Theory
dc.subjectGeometric Topology
dc.subjectMetric Geometry
dc.subject53C23; 20F32; 55R50; 57S30
dc.titleCounting open negatively curved manifolds up to tangential homotopy equivalence
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