Relative Entropy of Hypersurfaces in Hyperbolic Space

Published 27 Jun 2022 in math.DG | (2206.13141v1)

Abstract: We study a notion of relative entropy for certain hypersurfaces in hyperbolic space. We relate this quantity to the renormalized area introduced by Graham-Witten[RW99]. We also obtain a monotonicity formula for relative entropy applied to mean curvature flows in hyperbolic space.

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Junfu Yao

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