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LcK structures with holomorphic Lee vector field on Vaisman-type manifolds

Madani, Farid ; Moroianu, Andrei ; Pilca, Mihaela


We give a complete description of all locally conformally Kahler structures with holomorphic Lee vector field on a compact complex manifold of Vaisman type. This provides in particular examples of such structures whose Lee vector field is not homothetic to the Lee vector field of a Vaisman structure. More generally, dropping the condition of being of Vaisman type, we show that on a compact ...


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