A CLASSIFICATION OF HALF LIGHTLIKE SUBMANIFOLDS OF A SEMI-RIEMANNIAN MANIFOLD WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

被引：7

作者：

Jin, Dae Ho ^{[1
]}

Lee, Jae Won ^{[2
]}

机构：

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

[2] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2013年 / 50卷 / 03期

关键词：

half lightlike submanifold; semi-Riemannian manifold with semi-symmetric non-metric connection; totally umbilical screen distribution;

D O I：

10.4134/BKMS.2013.50.3.705

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the geometry of half lightlike submanifolds M of a semi-Riemannian manifold M with a semi-symmetric non-metric connection subject to the conditions; (1) the characteristic vector field of (M) over tilde is tangent to M, the screen distribution on M is totally umbilical in M and the co-screen distribution on M is conformal Killing, or (2) the screen distribution is integrable and the local lightlike second fundamental form of M is parallel.

引用

页码：705 / 717

页数：13

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