Structure theorem for compact Vaisman manifolds
Structure theorem for compact Vaisman manifolds
A locally conformally Kähler (l.c.K.) manifold is a complex manifold admitting a Kähler covering M , with each deck transformation acting by Kähler homotheties.A compact l.c.K. manifold is Vaisman if it admits a holomorphic flow acting by non-trivial homotheties on M .We prove a structure theorem for compact Vaisman manifolds.Every …