Hamiltonian stationary Lagrangian surfaces in C2

被引：53
|
作者：
Hélein, F
Romon, P
机构：
[1] ENS Cachan, CMLA, F-94235 Cachan, France
[2] Univ Marne la Vallee, F-77454 Noisy Le Grand 2, Marne La Vallee, France
来源：
COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2002年 / 10卷 / 01期
关键词：
D O I：
10.4310/CAG.2002.v10.n1.a5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study Hamiltonian stationary Lagrangian surfaces in C-2, i.e., Lagrangian surfaces in C-2 which are stationary points of the area functional under smooth Hamiltonian variations. Using loop groups, we propose a formulation of the equation as a completely integrable system. We construct a Weierstrass type representation and produce all tori through either the integrable systems machinery or more direct arguments.
引用
收藏
页码：79 / 126
页数：48
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