Kiliç E.Bahadr O.2024-08-042024-08-0420120161-1712https://doi.org/10.1155/2012/178390https://hdl.handle.net/11616/90514We 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[No Keyword]Article201210.1155/2012/1783902-s2.0-84867808066Q4