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arXiv · 1502.02185

Monotonicity formula for complete hypersurfaces in the Hyperbolic space and applications

Hilário Alencar·Gregório Silva Neto
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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, Gregório Silva Neto. 2015-02-07. Monotonicity formula for complete hypersurfaces in the Hyperbolic space and applications. https://doi.org/10.1007/s11512-015-0213-3

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