turkmath.org

The notion of generalized Sasakian space forms was introduced by Alegre, Blair and Carriazo in 2004, as a generalization of Sasakian, Kenmotsu and cosympletic space forms. In this talk, we will first discuss some known results on generalized Sasakian space forms and some non-trivial examples. Next, we discuss some characterizations of certain important classes of generalization Sasakian space forms, particularly, we give a necessary and sufficient condition for a generalized Sasakian space form to be locally a warped product of the real line and a non-flat complex space form or a $\alpha$-Sasakian space form.