Monotonicity formula for complete hypersurfaces in the Hyperbolic space and applications

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.

arXiv comment10 pages, final version with minor corrections. To appear in Arkiv för Matematik