Some Properties of a Concircular Curvature Tensor on Generalized Sasakian-Space-Forms

Abstract

The aim of the present paper is to study and investigate the geometrical properties of a concircular curvature tensor on generalized Sasakian-space-forms. In this manner, we obtained results for ϕ-concircularly flat, ϕ-semisymmetric, locally concircularly symmetric and locally concircularly ϕ-symmetric generalized Sasakian-space-forms. Finally, we construct examples of the generalized Sasakian-space-forms to verify some results.

Keywords

• generalized Saskian-space-form
• concircular curvature tensor
• locally <i>ϕ</i>-symmetric