Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space
classification
🧮 math.DG
math.AP
keywords
hypersurfaceseigenvalueeuclideanfirstoperatorsordersecondspace
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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.
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