ON ALMOST STABLE LINEAR WEINGARTEN HYPERSURFACES

Julien Roth; Abhitosh Upadhyay

doi:10.1016/j.bulsci.2023.103343

Journal Articles Bulletin des Sciences Mathématiques Year : 2023

ON ALMOST STABLE LINEAR WEINGARTEN HYPERSURFACES

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Julien Roth

Function : Author

Laboratoire Analyse et de Mathématiques Appliquées

Abhitosh Upadhyay

Function : Author

INDIAN INSTITUTE OF TECHNOLOGY GOA

Abstract

We prove that generalized linear Weingarten hypersurfaces of the Euclidean space which are almost stable for the associated stability problem are geodesic spheres.

Keywords

Hypersurfaces Higher order mean curvatures Stability

Domains

Mathematics [math]

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Submitted on : Friday, June 16, 2023-6:42:38 PM

Last modification on : Friday, December 27, 2024-7:49:18 PM

Long-term archiving on : Monday, September 18, 2023-9:19:06 AM

Dates and versions

hal-04131656 , version 1 (16-06-2023)

Identifiers

HAL Id : hal-04131656 , version 1
DOI : 10.1016/j.bulsci.2023.103343

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Julien Roth, Abhitosh Upadhyay. ON ALMOST STABLE LINEAR WEINGARTEN HYPERSURFACES. Bulletin des Sciences Mathématiques, 2023, 189, pp.103343. ⟨10.1016/j.bulsci.2023.103343⟩. ⟨hal-04131656⟩

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ON ALMOST STABLE LINEAR WEINGARTEN HYPERSURFACES

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