MEAN CURVATURE FLOW WITH SURGERY

被引：38
作者：
Haslhofer, Robert [1 ]
Kleiner, Bruce [2 ]
机构：
[1] Univ Toronto, Dept Math, Toronto, ON, Canada
[2] NYU, Courant Inst Math Sci, New York, NY USA
来源：
DUKE MATHEMATICAL JOURNAL | 2017年 / 166卷 / 09期
基金：
美国国家科学基金会;
关键词：
CONVEX SURFACES; 2-CONVEX HYPERSURFACES; GENERIC SINGULARITIES; UNIQUENESS; SETS;
D O I：
10.1215/00127094-0000008X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a new proof for the existence of mean curvature flow with surgery of 2-convex hypersurfaces in R-N. Our proof works for all N >= 3, including mean convex surfaces in R-3. We also derive a priori estimates for a more general class of flows in a local and flexible setting.
引用
收藏
页码：1591 / 1626
页数：36
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