PSEUDO-JACOBI OPERATORS AND OSSERMAN LIGHTLIKE HYPERSURFACES

被引：3
|
作者：
Atindogbe, Cyriaque [1 ]
Duggal, Krishan L. [2 ]
机构：
[1] Inst Math & Sci Phys, Porto Novo, Benin
[2] Univ Windsor, Dept Math & Stat, Windsor, ON N9B 3P4, Canada
来源：
KODAI MATHEMATICAL JOURNAL | 2009年 / 32卷 / 01期
关键词：
Lightlike hypersurfaces; admissible screen; algebraic curvature map; pseudo-Jacobi operator; Osserman condition;
D O I：
10.2996/kmj/1238594548
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study pseudo-Jacobi operators associated to algebraic curvature maps on lightlike hypersurfaces M and investigate conditions for an induced Riemann curvature tensor to be an algebraic curvature map on M. Two examples are provided with explicit determination on their pseudo-Jacobi operators. Finally, we introduce th notion of lightlike Osserman hypersurfaces and prove some characterization results.
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页码：91 / 108
页数：18
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