Semi-symmetric ∗-Ricci tensor on generalized Sasakian space forms

Abstract

We investigate the property of ∗-Ricci semi-symmetric of generalized Sasakianspace forms and its application: it is a new approach to measure how close aSasakian space form to be constant curvature space. We also investigate theproperties of ∗-Ricci tensor by comparing the semi-symmetric ∗-Ricci tensoron generalized Sasakian space form in Riemannian and semi-Riemannian settings.At last we give the example of Sasakian space form with semi-symmetric∗-Ricci tensor and its classification.