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arXiv:1502.02185 [math.DG]AbstractReferencesReviewsResources

Monotonicity formula for complete hypersurfaces in the Hyperbolic space and applications

Hilário Alencar, Gregório Silva Neto

Published 2015-02-07Version 1

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.

Comments: 10 pages
Categories: math.DG
Subjects: 53C42, 53C40
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