Kılıç, ErolBahadır, Oğuzhan2019-05-102019-05-102012Kılıç, E., Bahadır, O. (2012). Lightlike hypersurfaces of a semi-riemannian product manifold and quarter-symmetric nonmetric connections. International Journal of Mathematics and Mathematical Sciences, 2012.0161-1712https://doi.org/10.1155/2012/178390https://hdl.handle.net/11491/727We 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.eninfo:eu-repo/semantics/openAccess[Belirlenecek]Article201210.1155/2012/178390Q2