Einstein half lightlike submanifolds of a Lorentzian space form with a semi-symmetric non-metric connection

摘要

We study screen conformal Einstein half lightlike submanifolds M of a Lorentzian space form M ? ( c ) of constant curvature c admitting a semi-symmetric non-metric connection subject to the conditions; (1) the structure vector field of M ? is tangent to M, and (2) the canonical normal vector field of M is conformal Killing. The main result is a characterization theorem for such a half lightlike submanifold. MSC:53C25, 53C40, 53C50.