Curve Shortening Flow in Arbitrary Dimensional Euclidian Space

被引：0
|
作者：
Yun Yan YANG School of Mathematical Sciences
机构：
来源：
Acta Mathematica Sinica(English Series) | 2005年 / 21卷 / 04期
关键词：
Curve shortening flow; Singularity formation; Blow up;
D O I：
暂无
中图分类号：
O186.11 [古典微分几何];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper,curve shortening flow in Euclidian space R~n(n 3) is studied,and S.Altschuler’s results about flow for space curves are generalized.We prove that the curve shorteningflow converges to a straight line in infinite time if the initial curve is a ramp.We also prove the planarphenomenon when the curve shortening flow blows up.
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页码：715 / 722
页数：8
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