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First stability eigenvalue of singular hypersurfaces with constant mean curvature in the unit sphere.
- Source :
-
Proceedings of the American Mathematical Society . Feb2023, Vol. 151 Issue 2, p795-810. 16p. - Publication Year :
- 2023
-
Abstract
- In this paper, we study the first eigenvalue of the stability operator on an integral n-varifold with constant mean curvature in the unit sphere \mathbb {S}^{n+1}. We find the optimal upper bound and prove a rigidity result characterizing the case when it is attained. This gives a new characterization for certain singular Clifford tori. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EIGENVALUES
*CURVATURE
*INTEGRAL operators
*JACOBI operators
*SPHERES
Subjects
Details
- Language :
- English
- ISSN :
- 00029939
- Volume :
- 151
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Proceedings of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 162291150
- Full Text :
- https://doi.org/10.1090/proc/16120