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- W2155487579 abstract "A manifold M is locally conformally Kahler (LCK) if it admits a Kahler covering with monodromy acting by holomorphic homotheties. For a compact connected group G acting on an LCK manifold by holomorphic automorphisms, an averaging procedure gives a G-invariant LCK metric. Suppose that U(1) acts on an LCK manifold M by holomorphic isometries, and the lifting of this action to the Kahler cover of M is not isometric. We show that the cover admits an automorphic Kahler potential, and hence can be embedded to a Hopf manifold." @default.
- W2155487579 created "2016-06-24" @default.
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- W2155487579 date "2009-06-16" @default.
- W2155487579 modified "2023-09-27" @default.
- W2155487579 title "Automorphisms of locally conformally Kahler manifolds" @default.
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