2010/02/19 by Joseph Lauer, Lauer, Joseph
Mathematics · #53C44 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Point processes and geometric inequalities #math.AP #math.DG #msc:53C44
paper · pdf · doi:10.48550/arxiv.1002.3765
6 pages
openalex publication_date 2010/02/19 · arxiv created 2011/09/20 · arxiv updated 2011/09/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Huisken and Sinestrari have recently defined a surgery process for mean curvature flow when the initial data is a two-convex hypersurface. The process depends on a parameter H. Its role is to initiate a surgery when the maximum of the mean curvature of the evolving hypersurface becomes H, and to control the scale at which each surgery is performed. We prove that as H goes to infinity the surgery process converges to level set flow.