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arXiv · 1002.3765

Convergence of mean curvature flows with surgery

Joseph Lauer
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Abstract

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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Joseph Lauer. 2010-02-19. Convergence of mean curvature flows with surgery. https://arxiv.org/abs/1002.3765

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