Conformally flat manifolds with nonnegative Ricci curvature

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dc.creatorCarron, Gilles
dc.creatorHerzlich, Marc
dc.date2004-10-06
dc.date2004-10-08
dc.date.accessioned2026-07-07T05:13:00Z
dc.date.available2026-07-07T05:13:00Z
dc.descriptionWe show that complete conformally flat manifolds of dimension n>2 with nonnegative Ricci curvature enjoy nice rigidity properties: they are either flat, or locally isometric to a product of a sphere and a line, or are globally conformally equivalent to flat space or to a spherical spaceform. This extends previous works by Q.-M. Cheng, M.H. Noronha, B.-L. Chen and X.-P. Zhu, and S. Zhu.
dc.descriptionrevised version, added reference to previous paper by S. Zhu on the same subject
dc.identifierhttps://arxiv.org/abs/math/0410180
dc.identifierhttp://arxiv.org/abs/math/0410180
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72789
dc.subjectDifferential Geometry
dc.subject53C15, 53C24, 58J60
dc.titleConformally flat manifolds with nonnegative Ricci curvature
dc.typetext

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