Lightlike Hypersurfaces of an Indefinite Kaehler Manifold with an (l, m)-type Metric Connection

Jin introduced a non-symmetric metric connection, called an (l, m)-type metric connection [5,6]. There are two examples of (l, m)-type: a semi-symmetric metric connection when l = 1 and m = 0 and a quater-symmetric connection for l = 0 and m = 1 . Our purpose is to investigate lightlike hypersurfaces of an indefinite (complex) Kaehler manifolds with an (l, m)-type metric connection under the tangent characteristic vector field on such hypersurfaces.