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arXiv · 0710.2266

Bihermitian metrics on Hopf surfaces

Vestislav Apostolov·Georges Dloussky
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Abstract

Inspired by a construction due to Hitchin, we produce strongly bihermitian metrics on certain Hopf complex surfaces, which integrate the locally conformally Kaehler metrics found by Gauduchon and Ornea. We also show that the Inoue complex surfaces with zero second Betti number do not admit bihermitian metrics. This completes the classification of the compact complex surfaces admitting strongly bihermitian metrics.

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BibTeXRIS

Vestislav Apostolov, Georges Dloussky. 2007-10-11. Bihermitian metrics on Hopf surfaces. https://arxiv.org/abs/0710.2266

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