kähler finsler metric
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scholarly journals COMPLEX BERWALD MANIFOLDS WITH VANISHING HOLOMORPHIC SECTIONAL CURVATURE

2008 ◽  
Vol 50 (2) ◽  
pp. 203-208 ◽  
Author(s):  
RONGMU YAN
Keyword(s):  
Sectional Curvature ◽  
Finsler Metric ◽  
Holomorphic Sectional Curvature ◽  
Minkowski Metric ◽  
Strongly Convex ◽  
Kähler Finsler Metric

AbstractIn 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.

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