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Balas, A., Gauduchon, P. Any Hermitian metric of constant non-positive (Hermitian) holomorphic sectional curvature on a compact complex surface is Kähler. Math Z 190, 39–43 (1985). https://doi.org/10.1007/BF01159161
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DOI: https://doi.org/10.1007/BF01159161