GENERIC LIGHTLIKE SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION

Abstract

Depending on the characteristic vector filed zeta, a generic lightlike submanifold M in an indefinite Kaehler manifold (M) over bar with a semi-symmetric metric connection has various characterizations. In this paper, when the characteristic vector filed zeta belongs to the screen distribution S(TM) of M, we provide some characterizations of (Lie-) recurrent generic lightlike submanifold M in an indefinite Kaehler manifold (M) over bar with a semi-symmetric metric connection. Moreover, we characterize various generic lightlike submanifolds in an indefinite complex space form (M) over bar (c) with a semi-symmetric metric connection.