TOTALLY REAL SUBMANIFOLDS OF AN INDEFINITE KAEHLER MANIFOLD WITH A COMPLEX SEMI-SYMMETRIC METRIC CONNECTION

We show that totally real submanifolds of an indefinite Kaehler manifold admitting a complex semi-symmetric metric connection admit a semi-symmetric metric connection. We also characterize the case where the Ricci tensor of this connection is symmetric, and give a necessary condition for conformalflatness of a submanifold in these circumstances.