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arxiv: 1610.04904 · v1 · pith:JUJOVRRFnew · submitted 2016-10-16 · 🧮 math.DG · math.AP

Asymptotic structure of self-shrinkers

classification 🧮 math.DG math.AP
keywords asymptoticconecylindereitherfinitemathbbnoncompactregular
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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.

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