期刊论文详细信息
JOURNAL OF GEOMETRY AND PHYSICS 卷:92
A new characterization of the Berger sphere in complex projective space
Article
Li, Haizhong1  Vrancken, Luc2,3  Wang, Xianfeng4,5 
[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China
[2] Univ Valenciennes, LAMAV, F-59313 Valenciennes 9, France
[3] Katholieke Univ Leuven, Dept Wiskunde, B-3001 Louvain, Belgium
[4] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[5] Nankai Univ, LPMC, Tianjin 300071, Peoples R China
关键词: Lagrangian submanifolds;    Homogeneous manifolds;    Berger sphere;    Quasi-Einstein;    Complex space forms;   
DOI  :  10.1016/j.geomphys.2015.02.009
来源: Elsevier
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【 摘 要 】

We give a complete classification of Lagrangian immersions of homogeneous 3-manifolds (the Berger spheres, the Heisenberg group Nil(3), the universal covering of the Lie group PSL(2, R) and the Lie group Sol(3)) in 3-dimensional complex space forms. As a corollary, we get a new characterization of the Berger sphere in complex projective space. (C) 2015 Elsevier B.V. All rights reserved.

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