Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space forms
Classification of marginally trapped Lagrangian surfaces in Lorentzian complex space forms
复制标题
DOI：
10.1063/1.2424553
复制
发表时间：
2007-01
影响因子：
1.3
通讯作者：
Bang‐Yen Chen;F. Dillen
中科院分区：
文献类型：
--
作者：
Bang‐Yen Chen;F. Dillen
Lorentzian Kahler曲面中的拉格朗日曲面称为边缘陷域，如果它的平均曲率向量在每个点都是类似于光的。在本文中，我们对洛伦兹复空间形式中的边缘捕获拉格朗日曲面进行分类。我们的主要结果表明，在C12中存在3个边缘捕获拉格朗日曲面家族，在CP12中存在9个家族，在CH12中存在9个家族。反过来，洛伦兹复空间形式中的所有边缘捕获拉格朗日曲面都是从这21个族中得到的。
A Lagrangian surface in a Lorentzian Kahler surface is called marginally trapped if its mean curvature vector is lightlike at each point. In this paper we classify marginally trapped Lagrangian surfaces in Lorentzian complex space forms. Our main results state that there exist three families of marginally trapped Lagrangian surfaces in C12, nine families in CP12, and nine families in CH12. Conversely, all marginally trapped Lagrangian surfaces in Lorentzian complex space forms are obtained from these 21 families.