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Journal Articles Journal of Geometry and Physics Year : 2015

A new characterization of the Berger sphere in complex projective space

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Abstract

We give a complete classification of Lagrangian immersions of homogeneous 3-manifolds (the Berger spheres, the Heisenberg group Nil3, the universal covering of the Lie group PSL(2,R) and the Lie group Sol3) in 3-dimensional complex space forms. As a corollary, we get a new characterization of the Berger sphere in complex projective space.

Dates and versions

hal-03172969 , version 1 (18-03-2021)

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Haizhong Li, Luc Vrancken, Xianfeng Wang. A new characterization of the Berger sphere in complex projective space. Journal of Geometry and Physics, 2015, 92, pp.129-139. ⟨10.1016/j.geomphys.2015.02.009⟩. ⟨hal-03172969⟩
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