Lightlike hypersurfaces of a semi-Riemannian product manifold and quarter-symmetric nonmetric connections (Q715106)

Summary: We study light-like hypersurfaces of a semi-Riemannian product manifold. We introduce a class of light-like hypersurfaces called screen semi-invariant light-like hypersurfaces and radical anti-invariant light-like hypersurfaces. We consider light-like 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.