PINCHING OF THE FIRST EIGENVALUE FOR SECOND ORDER OPERATORS ON HYPERSURFACES OF THE EUCLIDEAN SPACE
Résumé
We prove stability results associated with upper bounds for the first eigenvalue of certain second order differential operators of divergence-type on hypersurfaces of the Euclidean space. We deduce some applications to r-stability as well as to almost-Einstein hypersurfaces.
Domaines
Géométrie différentielle [math.DG]
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Pinching_of_the_first_eigenvalue_for_second_order_operators_on_hypersurfaces_of_the_Euclidean_space.pdf (323.46 Ko)
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