Pincements en courbure de Ricci positive

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dc.creatorAubry, Erwann
dc.date2005-05-19
dc.date.accessioned2026-07-07T05:20:03Z
dc.date.available2026-07-07T05:20:03Z
dc.descriptionWe show that a complete Riemannian manifold of dimension $n$ with $\Ric\geq n{-}1$ and its $n$-st eigenvalue close to $n$ is both Gromov-Hausdorff close and diffeomorphic to the standard sphere. This extends, in an optimal way, a result of P. Petersen. We also show that a manifold with $\Ric\geq n{-}1$ and volume close to $\frac{\Vol\sn}{#π_1(M)}$ is both Gromov-Hausdorff close and diffeomorphic to the space form $\frac{\sn}{π_1(M)}$. This extends results of T. Colding and T. Yamaguchi.
dc.descriptionTo appear in Ann. Sci. Ec. Norm. sup
dc.identifierhttps://arxiv.org/abs/math/0505408
dc.identifierhttp://arxiv.org/abs/math/0505408
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75246
dc.subjectDifferential Geometry
dc.subjectGeometric Topology
dc.titlePincements en courbure de Ricci positive
dc.typetext

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