Asymptotic structure of self-shrinkers

Abstract

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

arXiv comment26 pages, 0 figures. This paper supersedes the preprint arXiv: 1505.00133

References in corpus (2)

• Self-shrinking Platonic solids
• A maximum principle for self-shrinkers and some consequences

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