• ON GENERALIZED SASAKIAN SPACE FORM

Abstract

In this article, we study conharmonically flat generalized Sasakian space forms. The eigenvalues of Ricci operator Q for such spaces are obtained. Under certain conditions we also find some relations between differentiable functions f_1,f_2 and f_3 in conharmonically flat generalized Sasakian space form. Three dimensional non-Sasakian contact metric generalized Sasakian space form are also studied. We have proved that in three dimensional conharmonically flat non-Sasakian contact metric generalized Sasakian space form M(f_1,f_2,f_3) is flat. Projectively flat, quasi projectively flat, ξ-projectively flat and φ-projectively flat generalized Sasakian space forms are also studied under certain conditions.