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Mathematics  2015 

Monotonicity formula for complete hypersurfaces in the Hyperbolic space and applications

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Abstract:

In this paper we prove a monotonicity formula for the integral of the mean curvature for complete and proper hypersurfaces of the hyperbolic space and, as consequences, we obtain a lower bound for the integral of the mean curvature and that the integral of the mean curvature is infinity.

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