Shrinking doughnuts via variational methods
Differential Geometry
2017-08-30 v1
Abstract
We use variational methods and a modified curvature flow to give an alternative proof of the existence of a self-shrinking torus under mean curvature flow. As a consequence of the proof, we establish an upper bound for the weighted energy of our shrinking doughnuts.
Cite
@article{arxiv.1708.08808,
title = {Shrinking doughnuts via variational methods},
author = {Gregory Drugan and Xuan Hien Nguyen},
journal= {arXiv preprint arXiv:1708.08808},
year = {2017}
}
Comments
18 pages, 2 figures