Relative Entropy of Hypersurfaces in Hyperbolic Space
Differential Geometry
2022-06-28 v1
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.
Keywords
Cite
@article{arxiv.2206.13141,
title = {Relative Entropy of Hypersurfaces in Hyperbolic Space},
author = {Junfu Yao},
journal= {arXiv preprint arXiv:2206.13141},
year = {2022}
}