Isotropic Lagrangian Submanifolds in Complex Euclidean Space and Complex Hyperbolic Space

被引:15
|
作者
Li, Haizhong [1 ]
Wang, Xianfeng [1 ]
机构
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
关键词
Isotropic submanifolds; Lagrangian submanifolds; complex Euclidean space; complex hyperbolic space; CONFORMAL MASLOV FORM; C-N; SPHERES; EQUALITY;
D O I
10.1007/s00025-009-0422-9
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The notion of isotropic submanifolds of an arbitrary Riemannian manifold was first introduced by B. O'Neill in [12]. In our paper, we give a complete classification of isotropic Lagrangian submanifolds in complex Euclidean space C-n and complex hyperbolic space CHn.
引用
收藏
页码:387 / 403
页数:17
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