  We prove various classification results for homogeneous locally conformally
symplectic manifolds. In particular, we show that a homogeneous locally
conformally Kaehler manifold of a reductive group is of Vaisman type, if the
normalizer of the isotropy group is compact. We also show that such a result
does not hold in the case of noncompact normalizer and determine all
left-invariant locally conformally Kaehler structures on reductive Lie groups.
