Lightlike hypersurfaces of a semi-riemannian product manifold and quarter-symmetric nonmetric connections
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CitationKılıç, E., Bahadır, O. (2012). Lightlike hypersurfaces of a semi-riemannian product manifold and quarter-symmetric nonmetric connections. International Journal of Mathematics and Mathematical Sciences, 2012.
We study lightlike hypersurfaces of a semi-Riemannian product manifold. We introduce a class of lightlike hypersurfaces called screen semi-invariant lightlike hypersurfaces and radical anti-invariant lightlike hypersurfaces. We consider lightlike hypersurfaces with respect to a quarter-symmetric nonmetric connection which is determined by the product structure. We give some equivalent conditions for integrability of distributions with respect to the Levi-Civita connection of semi-Riemannian manifolds and the quarter-symmetric nonmetric connection, and we obtain some results. © 2012 Erol Kl and Ouzhan Bahadr.