Lightlike Osserman submanifolds of semi-Riemannian manifolds

被引：3
|
作者：
Atindogbe C. [1 ]
Lungiambudila O. [1 ]
Tossa J. [1 ]
机构：
[1] Institut de Mathématiques et de Sciences Physiques (IMSP), Université d'Abomey-Calavi, Porto-Novo
来源：
Afrika Matematika | 2011年 / 22卷 / 2期
关键词：
Admissible pair of screens; Algebraic curvature tensor; Lightlike Osserman submanifold; Pseudo-Jacobi operator;
D O I：
10.1007/s13370-011-0015-0
中图分类号：
学科分类号：
摘要：
In this paper, we study Jacobi operators associated to algebraic curvature maps (tensors) on lightlike submanifolds M. We investigate conditions for an induced Riemann curvature tensor to be an algebraic curvature tensor on M. We introduce the notion of lightlike Osserman submanifolds and an example of 2-degenerate Osserman metric is given. Finally we give some results of symmetry properties on lightlike hypersurfaces from Osserman condition. © 2011 African Mathematical Union and Springer-Verlag.
引用
收藏
页码：129 / 151
页数：22
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