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.

引用

页码：97 / 110

页数：14

共 18 条

[1] Lightlike hypersurfaces of metallic semi-Riemannian manifolds
Acet, Bilal Eftal
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2018, 15 (12)
[2] Lightlike Hypersurfaces of Almost Productlike Semi-Riemannian Manifolds
Aksu, Omer
Gulbahar, Mehmet
Erkan, Esra
SYMMETRY-BASEL, 2023, 15 (01):
[3] Chen-like inequalities on null hypersurfaces with closed rigging of a Lorentzian manifold
Singh, Amrinder Pal
Atindogbe, Cyriaque
Kumar, Rakesh
Jain, Varun
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021, 18 (08)
[4] 2-symmetric lightlike hypersurfaces in semi-Riemannian space forms
Cengiz, Suleyman
Gorgulu, Ali
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2014, 11 (10)
[5] LIGHT-LIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN MANIFOLDS
BEJANCU, A
DUGGAL, KL
ACTA APPLICANDAE MATHEMATICAE, 1995, 38 (02) : 197 - 215
[6] On singular semi-Riemannian manifolds
Stoica, O. C.
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2014, 11 (05)
[7] NULL SECTIONAL CURVATURE PINCHING FOR CR-LIGHTLIKE SUBMANIFOLDS OF SEMI-RIEMANNIAN MANIFOLDS
Jamali, Mohammed
Shahid, Mohammad Hasan
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (04): : 108 - 115
[8] ASCREEN LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI- SYMMETRIC NON-METRIC CONNECTION
Jin, Dae Ho
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 29 (02): : 311 - 317
[9] Null screen quasi-conformal hypersurfaces in semi-Riemannian manifolds and applications
Navarro, Matias
Palmas, Oscar
Solis, Didier A.
MATHEMATISCHE NACHRICHTEN, 2020, 293 (08) : 1534 - 1553
[10] CHEN INEQUALITIES ON LIGHTLIKE HYPERSURFACES OF A LORENTZIAN MANIFOLD WITH SEMI-SYMMETRIC NON-METRIC CONNECTION
Poyraz, Nergiz
HONAM MATHEMATICAL JOURNAL, 2022, 44 (03): : 339 - 359

← 1 2 →