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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Roth, J., Scheuer, J. Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space. Ann Glob Anal Geom 51, 287–304 (2017). https://doi.org/10.1007/s10455-016-9535-z
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DOI: https://doi.org/10.1007/s10455-016-9535-z