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Nondegeneracy of critical points of the mean curvature of the boundary for Riemannian manifolds

Authors :
Anna Maria Micheletti
Marco Ghimenti
Source :
Journal of Fixed Point Theory and Applications. 14:71-78
Publication Year :
2013
Publisher :
Springer Science and Business Media LLC, 2013.

Abstract

Let $M$ be a compact smooth Riemannian manifold of finite dimension $n+1$ with boundary $\partial M$and $\partial M$ is a compact $n$-dimensional submanifold of $M$. We show that for generic Riemannian metric $g$, all the critical points of the mean curvature of $\partial M$ are nondegenerate.

Details

ISSN :
16617746 and 16617738
Volume :
14
Database :
OpenAIRE
Journal :
Journal of Fixed Point Theory and Applications
Accession number :
edsair.doi.dedup.....15bf54797f40a7ee9b96e34aa0334ea3
Full Text :
https://doi.org/10.1007/s11784-013-0138-z