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Volume preserving mean curvature flow of L2-almost umbilical hypersurfaces in hyperbolic space.
- Source :
-
International Journal of Mathematics . Jul2024, Vol. 35 Issue 8, p1-15. 15p. - Publication Year :
- 2024
-
Abstract
- In this paper, we study the stability of the volume preserving mean curvature flow of closed hypersurfaces in the hyperbolic space. We prove that an L 2 -almost umbilical hypersurface will be deformed to a totally umbilical hypersurface along the flow. Our result removes the assumption on the mean curvature in the theorems of Huang-Lin-Zhang [Peking J. Math. (2023)] and Leng-Xu-Zhao [Int. J. Math. (2014)]. [ABSTRACT FROM AUTHOR]
- Subjects :
- *CURVATURE
*HYPERSURFACES
*HYPERBOLIC spaces
*SUBMANIFOLDS
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 0129167X
- Volume :
- 35
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- International Journal of Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 178044995
- Full Text :
- https://doi.org/10.1142/S0129167X24500290