Eigenvalue pinching on convex domains in space forms

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dc.creatorAubry, E.
dc.creatorBertrand, J.
dc.creatorColbois, B.
dc.date2006-04-26
dc.date.accessioned2026-07-07T07:11:18Z
dc.date.available2026-07-07T07:11:18Z
dc.descriptionIn this paper, we show that the convex domains of the hyperbolic space which are almost extremal for the Faber-Krahn or the Payne-Polya-Weinberger inequalities are close to geodesic balls. Our proof is also valid in other space forms and allows us to recover known results in Euclidean space and on the sphere.
dc.descriptionsubmitted
dc.identifierhttps://arxiv.org/abs/math/0604576
dc.identifierhttp://arxiv.org/abs/math/0604576
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111708
dc.subjectSpectral Theory
dc.subjectDifferential Geometry
dc.titleEigenvalue pinching on convex domains in space forms
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