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  • Publication
    Métadonnées seulement
    Eigenvalue pinching on convex domains in space forms
    (2009)
    Aubry, Erwann
    ;
    Bertrand, Jérôme
    ;
    In this paper, we show that the convex domains of H-n 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 R-n and S-n.