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On a question of Vaisman concerning complex surfaces - MaRDI portal

On a question of Vaisman concerning complex surfaces (Q466941)

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scientific article; zbMATH DE number 6363170
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On a question of Vaisman concerning complex surfaces
scientific article; zbMATH DE number 6363170

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    On a question of Vaisman concerning complex surfaces (English)
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    31 October 2014
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    In the 80's, Vaisman asked which compact complex surfaces admit locally conformally Kähler metrics. In this paper, the author summarizes results of various geometers about this question, leading to a complete answer in the case of all known compact complex surfaces. Links between locally conformally Kähler structures and generalized geometry on complex surfaces are also discussed.
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    locally conformally Kähler metrics
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    compact complex surfaces
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    generalized Kähler metrics
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    Kato surfaces
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