Mean curvature flow with surgery of mean convex surfaces in R-3

作者：Brendle Simon^*; Huisken Gerhard

来源：Inventiones Mathematicae, 2016, 203(2): 615-654.

DOI：10.1007/s00222-015-0599-3

We define a notion of mean curvature flow with surgery for two-dimensional surfaces in 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 (Invent Math, 2015).

• 出版日期2016-2