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arXiv · 2206.13141

Relative Entropy of Hypersurfaces in Hyperbolic Space

Junfu Yao
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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. 2022-06-27. Relative Entropy of Hypersurfaces in Hyperbolic Space. https://arxiv.org/abs/2206.13141

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