Anti-De Sitter Spacetimes and Isoparametric Hypersurfaces in Complex Hyperbolic Spaces

被引：0
作者：
Carlos Diaz-Ramos, J. [1 ]
Dominguez-Vazquez, Miguel [2 ]
Sanmartin-Lopez, Victor [1 ]
机构：
[1] Univ Santiago de Compostela, Dept Math, Santiago, Spain
[2] ICMAT Inst Ciencias Matemat CSIC UAM UC3M UCM, Madrid, Spain
来源：
LORENTZIAN GEOMETRY AND RELATED TOPICS, GELOMA 2016 | 2017年 / 211卷
基金：
欧盟地平线“2020”;
关键词：
Complex hyperbolic space; Isoparametric hypersurface; Kahler angle; Anti-De Sitter spacetime; COHOMOGENEITY ONE ACTIONS;
D O I：
10.1007/978-3-319-66290-9_6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By lifting hypersurfaces in complex hyperbolic spaces to anti-De Sitter spacetimes, we prove that an isoparametric hypersurface in the complex hyperbolic space has the same principal curvatures as a homogeneous one.
引用
收藏
页码：87 / 101
页数：15
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