Mean curvature flow in submanifolds
Differential Geometry
2015-03-10 v3
Abstract
We obtain explicit solutions of the mean curvature flow in some submanifolds of the Euclidean space. We give particularly an explicit solution of the flow of a hypersurface in the Lagrangian self-expander which is constructed in the article of Joyce, Lee and Tsui and show that it converge to a minimal one.
Cite
@article{arxiv.1401.3401,
title = {Mean curvature flow in submanifolds},
author = {Hiroshi Nakahara},
journal= {arXiv preprint arXiv:1401.3401},
year = {2015}
}
Comments
8 pages, 1 figure