Pincement spectral en courbure de Ricci positive

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dc.creatorBertrand, Jerome
dc.date2005-04-08
dc.date.accessioned2026-07-07T05:18:55Z
dc.date.available2026-07-07T05:18:55Z
dc.descriptionWe show that for n dimensional manifolds whose the Ricci curvature is greater or equal to n-1 and for k in {1,...,n+1}, the k-th eigenvalue for the Laplacian is close to n if and only if the manifold contains a subset which is Gromov-Hausdorff close to the unit sphere of dimension k-1. For k=n+1, this gives a new proof of results of Colding and Petersen which show that the (n+1)-th eigenvalue is close to n if and only if the manifold is Gromov-Hausdorff close to the n-sphere.
dc.identifierhttps://arxiv.org/abs/math/0504173
dc.identifierhttp://arxiv.org/abs/math/0504173
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74834
dc.subjectDifferential Geometry
dc.subjectSpectral Theory
dc.titlePincement spectral en courbure de Ricci positive
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