English

Asymptotic structure of self-shrinkers

Differential Geometry 2016-10-18 v1 Analysis of PDEs

Abstract

We show that each end of a noncompact self-shrinker in R3\mathbb{R}^3 of finite topology is smoothly asymptotic to either a regular cone or a self-shrinking round cylinder.

Keywords

Cite

@article{arxiv.1610.04904,
  title  = {Asymptotic structure of self-shrinkers},
  author = {Lu Wang},
  journal= {arXiv preprint arXiv:1610.04904},
  year   = {2016}
}

Comments

26 pages, 0 figures. This paper supersedes the preprint arXiv: 1505.00133