Published Paper

Inserted: 7 jan 2025
Last Updated: 7 jan 2025

Journal: Proc. Amer. Math. Soc.
Year: 2017

Abstract:

In the article, we generalize some recent results of Colding and Minicozzi on generic singularities of mean curvature flow to curved ambient spaces. To do so, we make use of a weighted monotonicity formula to derive an "almost monotonicity" for the entropy upon embedding into $\R^\ell$. We are also lead to study the continuity of the entropy functional in certain cases.