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



Author: Vestislav Apostolov, Georges Dloussky

Source: https://arxiv.org/







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