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Asymptotic structure of self-shrinkers

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arxiv 1610.04904 v1 pith:JUJOVRRF submitted 2016-10-16 math.DG math.AP

Lu Wang This is my paper · ORCID
classification math.DGmath.AP
keywords asymptoticconecylindereitherfinitemathbbnoncompactregular
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. An Ancient Stacked Pancake Solution to Mean Curvature Flow

    math.DG 2025-09 conditional novelty 8.0 of 10

    For every dimension n≥3, there exists an embedded, rotationally symmetric, non-convex ancient mean curvature flow that looks like two parallel pancakes joined by a neck and lies in a slab.

  2. Singularities of mean curvature flow with bounded mean curvature and Morse index

    math.DG 2025-01 conditional novelty 8.0 of 10

    For closed smooth mean curvature flows in R^{n+1}, 3≤n≤6, at the first singular time either the mean curvature or the Morse index must blow up.

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