On the multiplicity one conjecture for mean curvature flows of surfaces
RH Bamler, B Kleiner - arXiv preprint arXiv:2312.02106, 2023 - arxiv.org
We prove the Multiplicity One Conjecture for mean curvature flows of surfaces in $\mathbb
{R}^ 3$. Specifically, we show that any blow-up limit of such mean curvature flows has …
{R}^ 3$. Specifically, we show that any blow-up limit of such mean curvature flows has …
Ancient mean curvature flows with finite total curvature
We construct an $ I $-family of ancient graphical mean curvature flows over a minimal
hypersurface in $\mathbb {R}^{n+ 1} $ of finite total curvature with the Morse index $ I $ by …
hypersurface in $\mathbb {R}^{n+ 1} $ of finite total curvature with the Morse index $ I $ by …