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http://dx.doi.org/10.4134/BKMS.2013.50.4.1367

EINSTEIN LIGHTLIKE HYPERSURFACES OF A LORENTZ SPACE FORM WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION  

Jin, Dae Ho (Department of Mathematics Dongguk University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.4, 2013 , pp. 1367-1376 More about this Journal
Abstract
We study Einstein lightlike hypersurfaces M of a Lorentzian space form $\tilde{M}(c)$ admitting a semi-symmetric non-metric connection subject to the conditions; (1) M is screen conformal and (2) the structure vector field ${\zeta}$ of $\tilde{M}$ belongs to the screen distribution S(TM). The main result is a characterization theorem for such a lightlike hypersurface.
Keywords
screen conformal; lightlike hypersurface; Einstein manifold; semisymmetric non-metric connection;
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Times Cited By KSCI : 1  (Citation Analysis)
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