Monotonicity formula for complete hypersurfaces in the Hyperbolic space and applications
Differential Geometry
2017-04-13 v2
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.
Cite
@article{arxiv.1502.02185,
title = {Monotonicity formula for complete hypersurfaces in the Hyperbolic space and applications},
author = {Hilário Alencar and Gregório Silva Neto},
journal= {arXiv preprint arXiv:1502.02185},
year = {2017}
}
Comments
10 pages, final version with minor corrections. To appear in Arkiv f\"or Matematik