Acta mathematica scientia, Series B >
STABILITY OF CONSTANT MEAN CURVATURE HYPERSURFACES OF REVOLUTION IN HYPERBOLIC SPACE
Received date: 2011-12-30
Revised date: 2012-05-24
Online published: 2013-05-20
Supported by
This work is supported by the King Saud University D.S.F.P program.
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.
Key words： Hypersurface; hyperbolic space; mean curvature
Mohamed JLELI . STABILITY OF CONSTANT MEAN CURVATURE HYPERSURFACES OF REVOLUTION IN HYPERBOLIC SPACE[J]. Acta mathematica scientia, Series B, 2013 , 33(3) : 830 -838 . DOI: 10.1016/S0252-9602(13)60042-9
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