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arXiv · 1510.03722

Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space

Julien Roth·Julian Scheuer
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Abstract

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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Julien Roth, Julian Scheuer. 2015-10-13. Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space. https://doi.org/10.1007/s10455-016-9535-z

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