Pseudo-Isotropic Centro-Affine Lorentzian Surfaces

被引：5
|
作者：
Birembaux, Olivier [1 ]
机构：
[1] Univ Polytech Hauts de France, LMI Lab Math Ingn, Campus Mont Houy, F-59313 Valenciennes 9, France
来源：
MATHEMATICS | 2020年 / 8卷 / 08期
关键词：
centro-affine submanifold; isotropic submanifold; Lorentzian submanifold;
D O I：
10.3390/math8081284
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study centro-affine Lorentzian surfaces M-2 in R-3 which have pseudo-isotropic or lightlike pseudo-isotropic difference tensor. We first show that M-2 is pseudo-isotropic if and only if the Tchebychev form T=0. In that case, M-2 is a an equi-affine sphere. Next, we will get a complete classification of centro-affine Lorentzian surfaces which are lightlike pseudo-isotropic but not pseudo-isotropic.
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页数：12
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