ASCREEN LIGHTLIKE HYPERSURFACES OF A SEMI-RIEMANNIAN SPACE FORM WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

Dae Ho Jin
2014 Communications of the Korean Mathematical Society  
We study lightlike hypersurfaces of a semi-Riemannian space form M (c) admitting a semi-symmetric non-metric connection. First, we construct a type of lightlike hypersurfaces according to the form of the structure vector field of M(c), which is called a ascreen lightlike hypersurface. Next, we prove a characterization theorem for such an ascreen lightlike hypersurface endow with a totally geodesic screen distribution.
doi:10.4134/ckms.2014.29.2.311 fatcat:ql4ae4kk4ffebm7vd6g3ji2wd4