Pseudo-isotropic Lorentzian Centroaffine Hypersurfaces 1

被引:4
|
作者
Birembaux, Olivier [1 ]
Cao, Lin [2 ,3 ]
机构
[1] Univ Polytech Hauts De France, LMI, F-59313 Valence 9, France
[2] Jiangsu Normal Univ, Sch Math & Stat, Xuzhou 221116, Jiangsu, Peoples R China
[3] Katholieke Univ Leuven, Dept Wiskunde, B-3001 Leuven, Belgium
关键词
Centroaffine hypersurfaces; pseudo-isotropic; Lorentzian; warped product;
D O I
10.1007/s00025-021-01562-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we classify pseudo-isotropic Lorentzian centroaffine hypersurfaces whose difference tensor satisfies the condition K-2 not equal 0. We prove that they have a structure of warped product I x (f) Nn-1 manifold and then express their immersions in Rn+1 (n >= 3).
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页数:30
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