Rotational Symmetry of Asymptotically Conical Mean Curvature Flow Self-Expanders
Differential Geometry
2016-09-08 v1 Analysis of PDEs
Abstract
In this article, we examine complete, mean-convex self-expanders for the mean curvature flow whose ends have decaying principal curvatures. We prove a Liouville-type theorem associated to this class of self-expanders. As an application, we show that mean-convex self-expanders which are asymptotic to -invariant cones are rotationally symmetric.
Keywords
Cite
@article{arxiv.1609.02105,
title = {Rotational Symmetry of Asymptotically Conical Mean Curvature Flow Self-Expanders},
author = {Frederick Tsz-Ho Fong and Peter McGrath},
journal= {arXiv preprint arXiv:1609.02105},
year = {2016}
}
Comments
14 pages. Comments are welcome!