Convergence of mean curvature flows with surgery

Details Convergence of mean curvature flows with surgery Convergence of mean curvature flows with surgery

2010-02-19

arxiv.org/abs/1002.3765v2

Mathematics

Differential Geometry

6 pages

Scientific paper

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.

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