Lagrangian submanifolds in complex projective space <italic>CP</italic><sup><italic>n</italic>

doi:10.1007/s11464-012-0244-z

Front Math Chin

2012, Vol. 7

Issue (6) : 1129-1140 https://doi.org/10.1007/s11464-012-0244-z

RESEARCH ARTICLE

Lagrangian submanifolds in complex projective space CPⁿ

Xiaoxiang JIAO¹, Chiakuei PENG¹, Xiaowei XU²(

)

1. School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China; 2. School of Mathematical Sciences, University of Science and Technology of China, Hefei 230026, China

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Abstract

We first prove a basic theorem with respect to the moving frame along a Lagrangian immersion into the complex projective space CPⁿ. Applying this theorem, we study the rigidity problem of Lagrangian submanifolds in CPⁿ.

Keywords Lagrangian submanifold second fundamental form Maurer-Cartan form

Corresponding Author(s): XU Xiaowei,Email:xwxu09@ustc.edu.cn

Issue Date: 01 December 2012

Cite this article:

Chiakuei PENG,Xiaowei XU,Xiaoxiang JIAO. Lagrangian submanifolds in complex projective space CP^{n[J]. Front Math Chin,
2012, 7(6): 1129-1140.}

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-012-0244-z
https://academic.hep.com.cn/fmc/EN/Y2012/V7/I6/1129

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