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Article Dans Une Revue Transactions of the American Mathematical Society Année : 2009

Eigenvalue pinching on convex domains in space forms

Résumé

In 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.

Dates et versions

hal-00338161 , version 1 (11-11-2008)

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Erwann Aubry, Jérôme Bertrand, Bruno Colbois. Eigenvalue pinching on convex domains in space forms. Transactions of the American Mathematical Society, 2009, 361 (1), pp.1--18. ⟨hal-00338161⟩
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