Entire mean curvature flows of graphs

被引：0
|
作者：
Han, Xiaoli [1 ]
机构：
[1] Abdus Salam Int Ctr Theoret Phys, I-34014 Trieste, Italy
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2008年 / 236卷 / 02期
关键词：
graph; Jacobian of the projection;
D O I：
10.2140/pjm.2008.236.333
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We consider the evolution of the graph of f : R-n -> R-n in R-n x R-n by the mean curvature flow. We prove that the flow exists smoothly for all time if the differential of f has a positive lower bound. Moreover, at each time, the flow remains the graph of a map f(t).
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页码：333 / 339
页数：7
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