Chen-like inequalities on lightlike hypersurfaces of a Lorentzian manifold

被引：0
|
作者：
Gülbahar M. [1 ]
Kilic E. [1 ]
Keles S. [1 ]
机构：
[1] Department of Mathematics, Faculty of Arts and Sciences, Inönü University, Malatya
来源：
Journal of Inequalities and Applications | / 2013卷 / 1期
关键词：
Scalar Curvature; Sectional Curvature; Fundamental Form; Plane Section; Ricci Curvature;
D O I：
10.1186/1029-242X-2013-266
中图分类号：
学科分类号：
摘要：
We introduce k-Ricci curvature and k-scalar curvature on lightlike hypersurfaces of a Lorentzian manifold. We establish some inequalities between the extrinsic scalar curvature and the intrinsic scalar curvature. Using these inequalities, we obtain some characterizations on lightlike hypersurfaces. We give some results with regard to curvature invariants and S(n1, ⋯ , nk)-spaces for lightlike hypersurfaces of a Lorentzian manifold. © 2013 Gülbahar et al.
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