Some null submanifolds of indefinite nearly Sasakian manifolds.

Abstract

We investigate some geometric aspects of indefinite nearly Sasakian manifolds. We study specific cases of null submanifolds, namely, invariant, GCR, Screen transversal and Radical screem transversal null submanifolds. Under some conditions there exist leaves that are nearly Sasakian, immersed in the ambient manifold as submanifolds. Furthermore, we give some geometric configuration of the existence of totally geodesic foliations in some distributions.