Isotropic Lagrangian Submanifolds in Complex Euclidean Space and Complex Hyperbolic Space

被引:1
|
作者
Haizhong Li
Xianfeng Wang
机构
[1] Tsinghua University,Department of Mathematical Sciences
来源
Results in Mathematics | 2009年 / 56卷
关键词
Primary 53C20; Secondary 53C42; Isotropic submanifolds; Lagrangian submanifolds; complex Euclidean space; complex hyperbolic space;
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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 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{C}}^n$$\end{document} and complex hyperbolic space \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{CH}}^n$$\end{document}.
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