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Topological Uniqueness for Self-expanders of Small Entropy

Differential Geometry 2020-04-01 v2 Analysis of PDEs

Abstract

For a fixed regular cone in Euclidean space with small entropy we show that all smooth self-expanding solutions of the mean curvature flow that are asymptotic to the cone are in the same isotopy class.

Keywords

Cite

@article{arxiv.1902.02642,
  title  = {Topological Uniqueness for Self-expanders of Small Entropy},
  author = {Jacob Bernstein and Lu Wang},
  journal= {arXiv preprint arXiv:1902.02642},
  year   = {2020}
}

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33 pages, 0 fiigures

R2 v1 2026-06-23T07:34:36.443Z