COMPLEX BERWALD MANIFOLDS WITH VANISHING HOLOMORPHIC SECTIONAL CURVATURE

RONGMU YAN
2008 Glasgow Mathematical Journal  
In this paper, we prove that a strongly convex and Kähler-Finsler metric is a complex Berwald metric with zero holomorphic sectional curvature if and only if it is a complex locally Minkowski metric.
doi:10.1017/s001708950800414x fatcat:e4d62th3fvc3re6lsmnlzrc4dy