CHEN-LIKE INEQUALITIES ON LIGHTLIKE HYPERSURFACE OF A LORENTZIAN PRODUCT MANIFOLD WITH QUARTER-SYMMETRIC NONMETRIC CONNECTION

被引：0

作者：

Poyraz, Nergiz ^{[1
]}

Yasar, Erol ^{[2
]}

机构：

[1] Cukurova Univ, Dept Math, Adana, Turkey

[2] Mersin Univ, Dept Math, Mersin, Turkey

来源：

KRAGUJEVAC JOURNAL OF MATHEMATICS | 2016年 / 40卷 / 02期

关键词：

Lightlike hypersurface; Lorentzian manifold; Quarter-symmetric nonmetric connection; Curvature; Ricci curvature;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce k-Ricci curvature and k-scalar curvature on lightlike hypersurface of a Lorentzian product manifold with quarter-symmetric nonmetric connection. Using these curvatures, we establish some Chen-type inequalities for lighlike hypersurface of a Lorentzian product manifold with quarter-symmetric nonmetric connection. Considering the equality case, we obtain some results.

引用

页码：146 / 164

页数：19

共 18 条

[1] Chen-like inequalities on lightlike hypersurfaces of a Lorentzian manifold
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[2] CHEN INEQUALITIES ON LIGHTLIKE HYPERSURFACES OF A LORENTZIAN MANIFOLD WITH SEMI-SYMMETRIC NON-METRIC CONNECTION
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[9] Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold
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[10] SUBMANIFOLDS OF A RIEMANNIAN MANIFOLD ADMITTING A TYPE OF RICCI QUARTER-SYMMETRIC METRIC CONNECTION
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