On Ricci tensor in the generalized Sasakian-space-forms

Sudhakar K. Chaubey; Ahmet Yildiz

Sudhakar K. Chaubey
Ahmet Yildiz Inonu University

Keywords: Ricci tensor, Generalized Sasakian-space-forms, Ricci solitons, symmetric spaces. 1

Abstract

The object of the present paper is to study the properties of generalized Sasakianspace-forms. We prove the results related to Ricci symmetric, Ricci recurrent, cyclic parallel and Codazzi type Ricci tensors. Results on Ricci soliton and gradient Ricci soliton are proved. Also, we provide the examples of generalized Sasakian-space-forms which are verified our results.