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.
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