Singularity Profile in the Mean Curvature Flow
Singularity Profile in the Mean Curvature Flow
In this paper we study the geometry of first time singularities of the mean curvature flow.By the curvature pinching estimate of Huisken and Sinestrari, we prove that a mean curvature flow of hypersurfaces in the Euclidean space R n+1 with positive mean curvature is κ-noncollapsing, and a blow-up sequence converges …