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http://dx.doi.org/10.4134/BKMS.2013.50.3.705

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

Jin, Dae Ho (Department of Mathematics Dongguk University)
Lee, Jae Won (Department of Mathematics University of Missouri)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.3, 2013 , pp. 705-717 More about this Journal
Abstract
In this paper, we study the geometry of half lightlike submanifolds M of a semi-Riemannian manifold $\tilde{M}$ with a semi-symmetric non-metric connection subject to the conditions; (1) the characteristic vector field of $\tilde{M}$ 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.
Keywords
half lightlike submanifold; semi-Riemannian manifold with semi-symmetric non-metric connection; totally umbilical screen distribution;
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Times Cited By KSCI : 1  (Citation Analysis)
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