%0 Journal Article
%T Eigenvalue pinching on convex domains in space forms
%A E. Aubry
%A J. Bertrand
%A B. Colbois
%J Mathematics
%D 2006
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0604576v1