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Locally conformally Kähler metrics on certain non-Kählerian surfaces

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Abstract

We show that every Enoki surface, i.e. a non-Kählerian compactification of an affine line bundle over an elliptic curve, admits a locally conformally Kähler metric.

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Authors and Affiliations

  1. Institut de Mathématiques de Bourgogne, UMR 5584, 9 Avenue Savary, 21078, Dijon, France

    Marco Brunella

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  1. Marco Brunella
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Correspondence to Marco Brunella.

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Brunella, M. Locally conformally Kähler metrics on certain non-Kählerian surfaces. Math. Ann. 346, 629–639 (2010). https://doi.org/10.1007/s00208-009-0407-8

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  • DOI: https://doi.org/10.1007/s00208-009-0407-8

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