Kazan, Sema2024-08-042024-08-0420231225-293X2288-6176https://doi.org/10.5831/HMJ.2023.45.3.471https://hdl.handle.net/11616/104072In this present paper, we study QSM-connection (quarter symmetric metric connection) on Sasakian statistical manifolds. Firstly, we express the relation between the QSM-connection V similar to and the torsion free connection V and obtain the relation between the curvature tensors R similar to of similar to similar to the dual connection V* of V. Also, we give the relations between the curvature tensor R similar to of QSM-connection V similar to and the curvature tensors R and R* of the connections V and V* on Sasakian statistical manifolds. We obtain the relations between the Ricci tensor of QSM-connection V similar to and the Ricci tensors of the connections V and V*. After these, we construct an example of a 3-dimensional Sasakian manifold admitting the QSM-connection in order to verify our results. Finally, we study the sub manifolds with the induced connection with respect to QSM-connection of statistical manifolds. V and R of V. After then we obtain these relations for V andeninfo:eu-repo/semantics/closedAccessand phrases. Sasakian manifoldsstatistical structuredual connectionquarter-symmetric metric connectionArticle45347149010.5831/HMJ.2023.45.3.471WOS:001103986500012Q3