English

Uniqueness of self-similar solutions to flows by quotient curvatures

Differential Geometry 2019-08-14 v1

Abstract

In this paper, we consider a family of closed hypersurfaces which shrink self-similarly with speed of quotient curvatures. We show that the only such hypersurfaces are shrinking spheres.

Keywords

Cite

@article{arxiv.1908.04699,
  title  = {Uniqueness of self-similar solutions to flows by quotient curvatures},
  author = {Li Chen and Shanze Gao},
  journal= {arXiv preprint arXiv:1908.04699},
  year   = {2019}
}