A Short Note on Contracting Self-Similar Solutions of the Curve Shortening Flow
Differential Geometry
2015-07-01 v1
Abstract
By the curve shortening flow, the only closed embedded contracting self-similar solutions are circles: we give a very short and intuitive geometric proof of this basic and classical result using an idea of Gage.
Keywords
Cite
@article{arxiv.1506.09052,
title = {A Short Note on Contracting Self-Similar Solutions of the Curve Shortening Flow},
author = {Lucas Z. Veeravalli and Emma H. Veeravalli and Alain R. Veeravalli},
journal= {arXiv preprint arXiv:1506.09052},
year = {2015}
}
Comments
7 pages, 3 figures