On Generalized Ricci-Recurrent (ϵ,δ)-trans-Sasakian manifolds.

A study of generalized Ricci-recurrent (ϵ, δ)-trans-Sasakian manifold has been made and it is shown that a generalized Ricci-recurrent cosymplectic manifold is always recurrent. Also, generalized Ricci-recurrent (ϵ, δ)-trans-Sasakian of dimension greater or equal to 5 are locally classified . Moreover, it is shown that if M is one of (ϵ)-Sasakian and (δ)-Kenmotsu manifold, then M is an Einstien manifold under certain conditions. [ABSTRACT FROM AUTHOR]