English

Closed hypersurfaces of low entropy in $\mathbb{R}^4$ are isotopically trivial

Differential Geometry 2020-04-01 v1 Analysis of PDEs

Abstract

We show that any closed connected hypersurface in R4\mathbb{R}^4 with entropy less than or equal to that of the round cylinder is smoothly isotopic to the standard three-sphere.

Keywords

Cite

@article{arxiv.2003.13858,
  title  = {Closed hypersurfaces of low entropy in $\mathbb{R}^4$ are isotopically trivial},
  author = {Jacob Bernstein and Lu Wang},
  journal= {arXiv preprint arXiv:2003.13858},
  year   = {2020}
}

Comments

18 pages, 0 figure