A pinching theorem for the first eigenvalue of the Laplacian on hypersurfaces of the Euclidean space | Zendy

Bruno Colbois | Zendy; Jean-François Grosjean | Zendy

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A pinching theorem for the first eigenvalue of the Laplacian on hypersurfaces of the Euclidean space

Author(s) -

Bruno Colbois,

Jean-François Grosjean

Publication year - 2007

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.4171/cmh/88

Subject(s) - mathematics , diffeomorphism , euclidean space , second fundamental form , laplace operator , eigenvalues and eigenvectors , norm (philosophy) , mathematical analysis , constant (computer programming) , combinatorics , mean curvature , euclidean geometry , pure mathematics , curvature , geometry , physics , quantum mechanics , political science , computer science , law , programming language

summary:In this article, we prove new stability results for almost-Einstein hypersurfaces of the Euclidean space, based on previous eigenvalue pinching results. Then, we deduce some comparable results for almost umbilical hypersurfaces

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