On E Recurrent Generalized Sasakian-Space-Forms
The object of this paper is to study ∅-recurrent generalized Sasakian-space-forms. It is proved that a ∅- recurrent generalized Sasakian-space-forms is an 𝛈𝛈𝛈𝛈 -Einstein manifold, provided f1 − f3 ≠ 0 and ∅-recurrent generalized Sasakian-space-form having a non-zero constant sectional curvature is locally ∅-symmetric.