Immersion theorem for Vaisman manifolds


A locally conformally Kähler (LCK) manifold is a complex manifold admitting a Kähler covering M̃ , with monodromy acting on M̃ by Kähler homotheties. A compact LCK manifold is Vaisman if it admits a holomorphic flow acting by non-trivial homotheties on M̃ . We prove that any compact Vaisman manifold admits a natural holomorphic immersion to a Hopf manifold… (More)