Geometry of Two-dimensional Self-shrinkers
Differential Geometry
2015-05-04 v1 Analysis of PDEs
Abstract
We prove a local graphical theorem for two-dimensional self-shrinkers away from the origin. As applications, we study the asymptotic behavior of noncompact self-shrinkers with finite genus. Also, we show uniform boundedness on the second fundamental form of two-dimensional noncompact self-shrinkers with bounded mean curvature and uniform locally finite genus.
Cite
@article{arxiv.1505.00133,
title = {Geometry of Two-dimensional Self-shrinkers},
author = {Lu Wang},
journal= {arXiv preprint arXiv:1505.00133},
year = {2015}
}
Comments
24 pages, 0 figure