Monotonicity formula for complete hypersurfaces in the Hyperbolic space and applications
classification
🧮 math.DG
keywords
curvatureintegralmeancompleteformulahyperbolichypersurfacesmonotonicity
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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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