Year: 2026
Type: preprint
Abstract: We prove that every tangent flow at the first singular time of a smooth, closed, embedded mean curvature flow has smooth support, provided that the total curvature satisfies $\sup_{t\in[0,T)}\int_{M_t}|A|^n\,dμ_t<\infty$. This extends Ilmanen's smoothness result for tangent flows to higher dimensions.
Source: arXiv (Cornell University)
Authors: Han, Yongheng, Wang, Zhen
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221825265