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http://dx.doi.org/10.4134/BKMS.b160227

LIGHTLIKE HYPERSURFACES OF AN INDEFINITE KAEHLER MANIFOLD WITH A NON-METRIC 𝜙-SYMMETRIC CONNECTION  

Jin, Dae Ho (Department of Mathematics Dongguk University)
Publication Information
Bulletin of the Korean Mathematical Society / v.54, no.2, 2017 , pp. 619-632 More about this Journal
Abstract
We define a new connection on semi-Riemannian manifold, which is called a non-metric ${\phi}$-symmetric connection. Semi-symmetric non-metric connection and quarter-symmetric non-metric connection are two impotent examples of this connection. The purpose of this paper is to study the geometry of lightlike hypersurfaces of an indefinite Kaehler manifold with a non-metric ${\phi}$-symmetric connection.
Keywords
non-metric ${\phi}$-symmetric connection; lightlike hypersurface; recurrent and Lie-recurrent hypersurfaces;
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Times Cited By KSCI : 4  (Citation Analysis)
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