Some Important Results for Invariant Submanifolds of Generalized Sasakian Space Forms

In this paper, we have characterized generalized Sasakian space forms in via of the Tachibana operator. We have examined the invariant submanifolds of this manifold according to certain important conditions established using the Tachibana operator and the most significant curvature tensors used to characterizing the geometry of the manifold. After obtaining important and interesting properties for the invariant submanifolds of generalized Sasakian space forms, we have provided an example to support our theorems and results.