English

Uniqueness of the bowl soliton

Differential Geometry 2015-08-12 v1

Abstract

We prove that any translating soliton for the mean curvature flow which is noncollapsed and uniformly 2-convex must be the rotationally symmetric bowl soliton. In particular, this proves a conjecture of White and Wang, in the 2-convex case in arbitrary dimension.

Keywords

Cite

@article{arxiv.1408.3145,
  title  = {Uniqueness of the bowl soliton},
  author = {Robert Haslhofer},
  journal= {arXiv preprint arXiv:1408.3145},
  year   = {2015}
}