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

来源：

RESULTS IN MATHEMATICS | 2022年 / 77卷 / 01期

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).

引用

页数：30

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