ON GENERALIZED RICCI-RECURRENT TRANS-SASAKIAN MANIFOLDS Kim, Jeong-Sik; Prasad, Rajendra; Tripathi, Mukut-Mani;
Generalized Ricci-recurrent trans-Sasakian manifolds are studied. Among others, it is proved that a generalized Ricci-recurrent cosymplectic manifold is always recurrent Generalized Ricci-recurrent trans-Sasakian manifolds of dimension 5 are locally classified. It is also proved that if M is one of Sasakian, -Sasakian, Kenmotsu or -Kenmotsu manifolds, which is gener-alized Ricci-recurrent with cyclic Ricci tensor and non-zero A (ξ) everywhere; then M is an Einstein manifold.
Sasakian;-Sasakian;Kenmotsu;-Kenmotsu;f-Kenmotsu;cosymplectic and trans-Sasakian structures;Ricci-recurrent;generalized Ricci-recurrent and Einstein manifolds.;