Colding Minicozzi Entropy in Hyperbolic Space
Differential Geometry
2020-07-21 v1 Analysis of PDEs
Abstract
This note introduces a notion of entropy for submanifolds of hyperbolic space analogous to the one introduced by Colding and Minicozzi for submanifolds of Euclidean space. Several properties are proved for this quantity including monotonicity along mean curvature flow in low dimensions and a connection with the conformal volume.
Cite
@article{arxiv.2007.10218,
title = {Colding Minicozzi Entropy in Hyperbolic Space},
author = {Jacob Bernstein},
journal= {arXiv preprint arXiv:2007.10218},
year = {2020}
}
Comments
16 pages