Browsing by Author "Verbitsky, Misha"

Now showing 1 - 1 of 1
  • Thumbnail Image
    Item
    Locally conformally Kähler manifolds admitting a holomorphic conformal flow
    (Oberwolfach : Mathematisches Forschungsinstitut Oberwolfach, 2010) Ornea, Liviu; Verbitsky, Misha
    Abstract A manifold M is locally conformally Kähler (LCK) if it admits a Kähler covering ˜M with monodromy acting by holomorphic homotheties. Let M be an LCK manifold admitting a holomorphic conformal flow of diffeomorphisms, lifted to a non-isometric homothetic flow on ˜M . We show that M admits an automorphic potential, and the monodromy group of its conformal weight bundle is Z.