Hamiltonian stationary Lagrangian surfaces in CP2

被引：19

作者：

Ma, H ^{[1
]}

机构：

[1] Tsing Hua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[2] Univ Massachusetts, Amherst, MA 01003 USA

[3] TU Berlin, Berlin, Germany

来源：

ANNALS OF GLOBAL ANALYSIS AND GEOMETRY | 2005年 / 27卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Lagrangian submanifold; complex projective space; integrable systems;

D O I：

10.1007/s10455-005-5214-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we use a new equivalent condition of Hamiltonian stationary Lagrangian surfaces in CP2 to show that any Hamiltonian stationary Lagrangian torus in CP2 can be constructed from a pair of commuting Hamiltonian ODEs on a finite dimensional subspace of a certain loop Lie algebra, i.e., is of finite type.

引用

页码：1 / 16

页数：16

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