English

Volume estimates for the singular sets of mean curvature flows

Differential Geometry 2025-04-15 v1

Abstract

In this paper, we establish uniform and sharp volume estimates for the singular set and the quantitative singular strata of mean curvature flows starting from a smooth, closed, mean-convex hypersurface in Rn+1\mathbb R^{n+1}.

Keywords

Cite

@article{arxiv.2504.09811,
  title  = {Volume estimates for the singular sets of mean curvature flows},
  author = {Hanbing Fang and Yu Li},
  journal= {arXiv preprint arXiv:2504.09811},
  year   = {2025}
}