Some Properties of CR-submanifolds of an S-manifold with a Semi-Symmetric Metric Connection

Abstract

We define a semi-symmetric metric connection in an S-manifold and study CR-submanifolds of an S-manifold with a semi-symmetric metric connection. Moreover, we also obtain integrability and parallel conditions of the distributions on CR-submanifolds. Finally, we give some results of the sectional curvatures of CR-submanifolds of an S-space form with a semi-symmetric metric connection.