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Regular version of the site

Article

Locally conformally Kahler manifolds admitting a holomorphic conformal flow

Mathematische Zeitschrift. 2013. Vol. 273. No. 3-4. P. 605-611.
Ornea L., Verbitsky M.

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.