Some Properties of Invariant Submanifolds of Generalized Sasakian-Space-Forms Using Curvature Tensors

Abstract

In this paper we study various results of invariant submanifolds of generalized Sasakian-space-forms. Here we search the necessary and sufficient condition for invariant submanifolds of generalized Sasakian-space-forms to be totally geodesic satisfying  and where  and are curvature tensor, Riccitensor, concircular curvature tensor, conformal curvature tensor, conharmonic curvature tensor and the second fundamental form respectively.