Remarks on almost cosymplectic 3-manifolds with Ricci operators (Q2176059)

Summary: Let \(M\) be an almost cosymplectic \(3-h-a\)-manifold. In this paper, we prove that the Ricci operator of \(M\) is transversely Killing if and only if \(M\) is locally isometric to a product space of an open interval and a surface of constant Gauss curvature, or a unimodular Lie group equipped with a left invariant almost cosymplectic structure. Some corollaries of this result and some examples illustrating main results are given.