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.
Funding Statement
Hilário Alencar was partially supported by CNPq of Brazil.
Citation
Hilário Alencar. Gregório Silva Neto. "Monotonicity formula for complete hypersurfaces in the hyperbolic space and applications." Ark. Mat. 54 (1) 1 - 11, April 2016. https://doi.org/10.1007/s11512-015-0213-3
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