Singularities of Mean Curvature Flow of Surfaces with Additional Forces

2018/08/12 by Sun, Ao · 3 citations
#53C44 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1808.03937

Abstract

In this paper we study the blow up sequence of mean curvature flow of surfaces in \mathbb R³ with additional forces. We prove that the blow up limit of a mean curvature flow of smoothly embedded surfaces with additional forces with finite entropy is a smoothly embedded self-shrinker.

Cited by

• Decay order bound for mean curvature flow near compact singularities
• Mean curvature flow converging to an minimizing cone and its Hardt-Simon foliation
• Rigidity and Classification of Legendrian Self-Shrinkers

Related

• Local Entropy and Generic Multiplicity One Singularities of Mean Curvature Flow of Surfaces
• Generating Shrinkers by Mean Curvature Flow
• Mean curvature blow up in mean curvature flow
• Generic mean curvature flow I; generic singularities
• The extension problem of the mean curvature flow (I)