摘要：In this paper we study generalized Ricci-recurrent trans-Sasakian manifolds. It is proved that a generalized Ricci-recurrent δ-Lorentzian cosym- plectic manifold is always recurrent. Generalized Ricci-recurrent δ-Lorentzian trans-Sasakian Manifolds of dimension ≥ 5 are locally classified. We have also proved that if M is one of the δ-Lorentzian Sasakian, δ-Lorentzian α- Sasakian, δ-Lorentzian Kenmotsu or δ-Lorentzian β-Kenmotsu manifoldswhich is gener- alized Ricci-recurrent with cyclic Ricci tensor and non-zero A(ξ) everywhere; then M is an Einstein manifold.
