Superconvexity of the Heat Kernel on Hyperbolic Space
Differential Geometry
2020-08-27 v1 Analysis of PDEs
Abstract
We prove a conjecture of Bernstein that the superconvexity of the heat kernel on hyperbolic space holds in all dimensions and, hence, there is an analog of Huisken's monotonicity formula for mean curvature flow in hyperbolic space of all dimensions.
Keywords
Cite
@article{arxiv.2008.11240,
title = {Superconvexity of the Heat Kernel on Hyperbolic Space},
author = {Yongzhe Zhang},
journal= {arXiv preprint arXiv:2008.11240},
year = {2020}
}