Chen-like inequalities on lightlike hypersurfaces of semi-Riemannian manifolds

被引：0
|
作者：
Gupta, Garima [1 ]
Kumar, Rakesh [1 ]
Nagaich, Rakesh Kumar [2 ]
机构：
[1] Punjabi Univ, Dept Basic & Appl Sci, Patiala 147002, Punjab, India
[2] Punjabi Univ, Dept Math, Patiala 147002, Punjab, India
来源：
ADVANCED STUDIES-EURO-TBILISI MATHEMATICAL JOURNAL | 2021年 / 14卷 / 04期
关键词：
Lightlike hypersurfaces; semi-symmetric non-metric connection; induced Ricci type tensor; null sectional curvature; Chen-like inequalities; SUBMANIFOLDS;
D O I：
10.3251/asetmj/1932200816
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study lightlike hypersurfaces of semi-Riemannian manifolds admitting a semi-symmetric non-metric connection whose structure vector field is tangent to the hypersurface. We prove that the null sectional curvature of the lightlike hypersurface vanishes. We obtain Chenlike inequalities on lightlike hypersurfaces of a semi-Riemannian manifold admitting a semisymmetric non-metric connection.
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页码：97 / 110
页数：14
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