Topology of Manifolds with Asymptotically Nonnegative Ricci Curvature

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dc.creatorMahaman, Bazanfare
dc.date2008-09-26
dc.date.accessioned2026-07-07T10:05:41Z
dc.date.available2026-07-07T10:05:41Z
dc.descriptionIn this paper, we study the topology of complete noncompact Riemannian manifolds with asymptotically nonnegative Ricci curvature. We show that a complete noncompact manifold with asymptoticaly nonnegative Ricci curvature and sectional curvature decay at most quadratically is diffeomorphic to a Euclidean n-space R^n under some conditions on the density of rays starting from the base point p or on the volume growth of geodesic balls in M.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/0809.4558
dc.identifierhttp://arxiv.org/abs/0809.4558
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170080
dc.subjectDifferential Geometry
dc.subject53c21
dc.titleTopology of Manifolds with Asymptotically Nonnegative Ricci Curvature
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