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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Hilário Alencar was partially supported by CNPq of Brazil.
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Alencar, H., Neto, G.S. Monotonicity formula for complete hypersurfaces in the hyperbolic space and applications. Ark Mat 54, 1–11 (2016). https://doi.org/10.1007/s11512-015-0213-3
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DOI: https://doi.org/10.1007/s11512-015-0213-3