Ancient solutions to mean curvature flow for isoparametric submanifolds
Differential Geometry
2019-12-10 v2
Abstract
Mean curvature flow for isoparametric submanifolds in Euclidean spaces and spheres was studied by the authors in [LT]. In this paper, we will show that all these solutions are ancient solutions. We also discuss rigidity of ancient mean curvature flows for hypersurfaces in spheres and its relation to the Chern's conjecture on the norm of the second fundamental forms of minimal hypersurfaces in spheres.
Keywords
Cite
@article{arxiv.1911.12535,
title = {Ancient solutions to mean curvature flow for isoparametric submanifolds},
author = {Xiaobo Liu and Chuu-Lian Terng},
journal= {arXiv preprint arXiv:1911.12535},
year = {2019}
}
Comments
25 pages, no figure. Added a reference and revised conjecture 4.18