ON LIGHTLIKE SUBMANIFOLDS IN SEMI-RIEMANNIAN MANIFOLD WITH A RICCI QUARTER SYMMETRIC METRIC CONNECTION

We study lightlike submanifolds of a semi-Riemannian manifold with a Ricci quarter-symmetric metric connection. We obtain integrability conditions for screen distribution. We also identify the conditions for which the Ricci tensor of a lightlike submanifold with Ricci quarter-symmetric metric connection is symmetric. Then, we conclude our study by showing that the conformal curvature tensor of a lightlike submanifold M of semi-Riemannian space form (M) over tilde (c) is equal to curvature tensor of M with respect to Ricci quarter-symmetric metric connection.