Curve shortening flow in a 3-dimensional pseudohermitian manifold

被引：1
|
作者：
Pan, Shujing [1 ]
Sun, Jun [2 ,3 ]
机构：
[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China
[3] Wuhan Univ, Hubei Key Lab Computat Sci, Wuhan 430072, Peoples R China
来源：
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2021年 / 60卷 / 06期
关键词：
53C17; 53E50; DIFFERENTIAL GEOMETRY; SINGULARITIES;
D O I：
10.1007/s00526-021-02062-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce a curve shortening flow in a 3-dimensional pseudohermitian manifold with vanishing torsion. The flow preserves the Legendrian condition and decreases the length of curves. The stationary solution of our flow is a Legendrian geodesic. We classify the singularity and prove some convergence results. Moreover, we study the flow in Heisenberg group especially with Type I singularity.
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页数：23
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