GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION

被引：2

作者：

Jin, Dae Ho ^{[1
]}

机构：

[1] Dongguk Univ, Dept Math, Gyeongju 780714, South Korea

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2017年 / 54卷 / 03期

关键词：

quarter-symmetric metric connection; generic lightlike submanifold; indefinite trans-Sasakian structure;

D O I：

10.4134/BKMS.b160439

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The object of study in this paper is generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection. We study the geometry of two types of generic light like submanifolds, which are called recurrent and Lie recurrent generic lightlike submanifolds, of an indefinite trans-Sasakian manifold with a quarter-symmetric metric connection.

引用

页码：1003 / 1022

页数：20

共 39 条

[1] GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A QUARTER-SYMMETRIC METRIC CONNECTION
Jin, Dae Ho
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2018, 55 (02) : 515 - 531
[2] GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH AN (l, m)-TYPE METRIC CONNECTION
Jin, Dae Ho
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 34 (02): : 615 - 632
[3] GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE TRANS-SASAKIAN MANIFOLD WITH A NON-SYMMETRIC NON-METRIC CONNECTION OF TYPE (l, m)
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COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2020, 35 (04): : 1203 - 1219
[4] GEOMETRY OF HALF LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDS WITH A QUARTER-SYMMETRIC METRIC CONNECTION
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[5] GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION
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[6] On a Quarter-Symmetric Metric Connection in an LP-Sasakian Manifold
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[7] On Quarter-Symmetric Metric Connection in a Lorentzian Para-Sasakian Manifold
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AZERBAIJAN JOURNAL OF MATHEMATICS, 2015, 5 (01): : 3 - 12
[8] GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
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PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2018, 7 (02): : 47 - 68
[9] Generic lightlike submanifolds of an indefinite Kaehler manifold with an (l, m)-type metric connection
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Lee, J. W.
ARMENIAN JOURNAL OF MATHEMATICS, 2020, 12 (06): : 1 - 17
[10] SOME CURVATURE PROPERTIES OF SP-SASAKIAN MANIFOLD WITH QUARTER-SYMMETRIC METRIC CONNECTION
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