A survey of closed self-shrinkers with symmetry
Differential Geometry
2017-08-31 v1
Abstract
In this paper, we survey known results on closed self-shrinkers for mean curvature flow and discuss techniques used in recent constructions of closed self-shrinkers with classical rotational symmetry. We also propose new existence and uniqueness problems for closed self-shrinkers with bi-rotational symmetry and provide numerical evidence for the existence of new examples.
Keywords
Cite
@article{arxiv.1708.09113,
title = {A survey of closed self-shrinkers with symmetry},
author = {Gregory Drugan and Hojoo Lee and Xuan Hien Nguyen},
journal= {arXiv preprint arXiv:1708.09113},
year = {2017}
}
Comments
27 figures