Abstract:
The purpose of the article is to study an $f$-cosymplectic manifold $M$ admitting Ricci solitons. Here we consider mainly two classes of Ricci solitons on $f$-cosymplectic manifolds. One is the class of contact Ricci solitons. The other is the class of gradient Ricci solitons, for which we give the local classifications of $M$. We also give some properties of $f$-cosymplectic manifolds.
Key words and phrases:contact Ricci soliton, gradient Ricci soliton, $f$-cosymplectic manifold, cosymplectic manifold, Einstein manifold.