Semi-Symmetric Generalized Sasakian Space Forms On Some Special Curvature Tensors

In this article, semi-symmetric generalized Sasakian space forms are investigated on some special curvature tensors. Characterizations of generalized Sasakian space forms are obtained on some specially selected ??curvature tensors. By examining the flatness of these ??curvature tensors, the properties of generalized sasakian space forms are given. More importantly, the cases of ??semi-symmetric generalized Sasakian space forms are discussed and the behavior of the manifold is examined for each case. Again, necessary and sufficient conditions have been obtained for ??symmetric generalized Sasakian space forms to be Einstein manifolds. © 2022, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.