Geodesic
Any Hermitian Metric of Constant Non-Positive (Hermitian) Holomorphic Sectional Curvature on a Compact Complex Surface is Kähler.
Mathematische Zeitschrift, Tome 190 (1985), pp. 39-44.

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Mots-clés : Kähler metric, Hermitian holomorphic sectional curvature, Hermitian metric, complex surface 
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     author = {Paul Gauduchon and Andrew Balas},
     title = {Any {Hermitian} {Metric} of {Constant} {Non-Positive} {(Hermitian)} {Holomorphic} {Sectional} {Curvature} on a {Compact} {Complex} {Surface} is {K\"ahler.}},
     journal = {Mathematische Zeitschrift},
     pages = {39--44},
     publisher = {mathdoc},
     volume = {190},
     year = {1985},
     zbl = {0549.53063},
     url = {http://geodesic.mathdoc.fr/item/MZ_1985__190_173607/}
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Paul Gauduchon; Andrew Balas. Any Hermitian Metric of Constant Non-Positive (Hermitian) Holomorphic Sectional Curvature on a Compact Complex Surface is Kähler.. Mathematische Zeitschrift, Tome 190 (1985), pp. 39-44. http://geodesic.mathdoc.fr/item/MZ_1985__190_173607/