Mean curvature flow with surgery of mean convex surfaces in ℝ³

2013/09/05 by Brendle, S., Huisken, G.
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1309.1461

Abstract

We define a notion of mean curvature flow with surgery for two-dimensional surfaces in ℝ³ with positive mean curvature. Our construction relies on the earlier work of Huisken and Sinestrari in the higher dimensional case. One of the main ingredients in the proof is a new estimate for the inscribed radius established by the first author.

Related

• Mean curvature flow of mean convex hypersurfaces
• The harmonic mean curvature flow of nonconvex surfaces in ℝ³
• Mean curvature flow with multiplicity 2 convergence in ℝ³
• High Codimension Mean Curvature Flow with Surgery
• Lectures on mean curvature flow