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

Roth, Julien and Scheuer, Julian ORCID: https://orcid.org/0000-0003-2664-1896 2017. Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space. Annals of Global Analysis and Geometry 51 (3) , pp. 287-304. 10.1007/s10455-016-9535-z

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Springer Verlag (Germany)
ISSN:	0232-704X
Date of First Compliant Deposit:	8 October 2020
Date of Acceptance:	12 October 2016
Last Modified:	11 Nov 2023 20:05
URI:	https://orca.cardiff.ac.uk/id/eprint/135456

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