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Stability of constant mean curvature hypersurfaces of revolution in hyperbolic space
Journal article   Peer reviewed

Stability of constant mean curvature hypersurfaces of revolution in hyperbolic space

Mohamed Jleli
Acta mathematica scientia, Vol.33(3), pp.830-838
01/05/2013
DOI: https://doi.org/10.1016/S0252-9602(13)60042-9

Abstract

53A10 53C42 hyperbolic space Hypersurface mean curvature
In this article, by solving a nonlinear differential equation, we prove the existence of a one parameter family of constant mean curvature hypersurfaces in the hyperbolic space with two ends. Then, we study the stability of these hypersurfaces.

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