Mean curvature flow with surgery of mean convex surfaces in three-manifolds

被引:8
作者
Brendle, Simon [1 ]
Huisken, Gerhard [2 ]
机构
[1] Stanford Univ, Dept Math, Stanford, CA 94305 USA
[2] Univ Tubingen, Math Inst, D-72076 Tubingen, Germany
基金
美国国家科学基金会;
关键词
Mean curvature flow; singularities; 2-CONVEX HYPERSURFACES; INSCRIBED RADIUS; SINGULARITIES; SETS;
D O I
10.4171/JEMS/811
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In a previous paper, we introduced a notion of mean curvature flow with surgery for embedded, mean convex surfaces in R-3. In this paper, we extend this construction to embedded, mean convex surfaces in a Riemannian three-manifold. Moreover, by combining our results with earlier work of Brian White, we are able to give a precise description of the longtime behavior of the surgically modified flow.
引用
收藏
页码:2239 / 2257
页数:19
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