INVARIANT SUBMANIFOLDS IN SASAKIAN MANIFOLDS AND THEIR SECOND FUNDAMENTAL PROPERTIES

In this paper, the second fundamental form of invariant submanifolds of Sasakian manifolds are studied. We show that an invariant recurrent submanifold is totally geodesic. Moreover, the generalized recurrent submanifolds of Sasakian manifolds are introduced and it is proved that they are totally geodesic