Conformal vector fields on almost co-Kähler manifolds (Q2063369)

In this paper, the authors characterize almost co-Kähler manifolds with a conformal vector field. One of the main results is that if an almost co-Kähler manifold has a conformal vector field that is collinear with the Reeb vector field, then the manifold is a \(K\)-almost co-Kähler manifold. The other main result is that if a \((\kappa,\mu)\)-almost co-Kähler manifold admits a Killing vector field \(V\), then either the manifold is \(K\)-almost co-Kähler or the vector field \(V\) is an infinitesimal strict contact transformation, provided that the \((1,1)\) tensor \(h\) remains invariant under the Killing vector field.