Frontiers of Mathematics in China >

2012 , Vol. 7 >Issue 6: 1129 - 1140

DOI: https://doi.org/10.1007/s11464-012-0244-z

RESEARCH ARTICLE

Lagrangian submanifolds in complex projective space CPn

  • Xiaoxiang JIAO 1 ,
  • Chiakuei PENG 1 ,
  • Xiaowei XU , 2
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  • 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

Received date: 25 Sep 2010

Accepted date: 05 Sep 2012

Published date: 01 Dec 2012

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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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.

Key words： Lagrangian submanifold; second fundamental form; Maurer-Cartan form

Cite this article

Xiaoxiang JIAO , Chiakuei PENG , Xiaowei XU . Lagrangian submanifolds in complex projective space CPn[J]. Frontiers of Mathematics in China, 2012 , 7(6) : 1129 -1140 . DOI: 10.1007/s11464-012-0244-z

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