Asymptotic Behavior and Stability of Mean Curvature Flow with a Conical End
Differential Geometry
2019-09-17 v1
Abstract
If the initial hypersurface of an immortal mean curvature flow is asymptotic to a regular cone whose entropy is small, the flow will become asymptotically self-expanding. Moreover, the expander that gives rise to the limiting flow is asymptotically stable as an equilibrium solution of the normalized mean curvature flow.
Keywords
Cite
@article{arxiv.1909.06601,
title = {Asymptotic Behavior and Stability of Mean Curvature Flow with a Conical End},
author = {Siao-Hao Guo},
journal= {arXiv preprint arXiv:1909.06601},
year = {2019}
}