Conformal vector fields on f-cosymplectic manifolds

Abstract

In this paper, at first we characterize $f$-cosymplectic manifolds admitting conformal vector fields. Next, we establish that if a 3-dimensional $f$-cosymplectic manifold admits a homothetic vector field $\mathbf{V}$, then either the manifold is of constant sectional curvature $-\tilde{f}$ or, $\mathbf{V}$ is an infinitesimal contact transformation. Furthermore, we also investigate Ricci-Yamabe solitons with conformal vector fields on $f$-cosymplectic  manifolds. At last, two examples are constructed to validate our outcomes.