Sharp upper bounds for % MathType!MTEF!2!1!+- % feaafiart1ev1aaatCvAUfKttLearuqr1ngBPrgarmWu51MyVXguY9 % gCGievaerbd9wDYLwzYbWexLMBbXgBcf2CPn2qVrwzqf2zLnharyav % P1wzZbItLDhis9wBH5garqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC % 0xbbL8F4rqqrFfpeea0xe9Lq-Jc9vqaqpepm0xbba9pwe9Q8fs0-yq % aqpepae9pg0FirpepeKkFr0xfr-xfr-xb9adbaqaaeGaciGaaiaabe % qaamaaeaqbaaGcbaqeduuDJXwAKbYu51MyVXgaiyaacqWF7oaBdaqh % aaWcbaGaeGymaedabaGaemitaW0aaSbaaWqaaiadyI2GYbGCaeqaaa % aaaaa!4774! $$ \lambda _1^{L_r } $$ of immersed hypersurfaces and their stability in space forms
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s10114-007-6322-6.pdf
Reference19 articles.
1. Heintze, E.: Extrinsic upper bounds for λ1. Math. Ann., 280, 389–402 (1988)
2. Reilly, R. C.: On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space. Comment. Math. Helv., 52, 525–533 (1977)
3. El Soufi, A., Ilias, S.: Une inegalité du type ‘Reilly’ pour les sous-variétés de l’espace hyperbolique. Comm. Math. Helv., 67, 167–181 (1992)
4. Barbosa, L., do Carmo, M.: Stability of hypersurfaces with constant mean curvature. Math. Z., 195, 339–353 (1984)
5. Barbosa, L., Do Carmo, M., Eschenburg, J.: Stablity of hypersurfaces of constant mean curvature in Riemannian manifolds. Math. Z., 197, 123–138 (1988)
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