Characterizing complex locally Minkowski spaces by holomorphic sectional curvature
Bull. Korean Math. Soc. 2012 Vol. 49, No. 1, 49-55
https://doi.org/10.4134/BKMS.2012.49.1.49
Published online January 1, 2012
Xinxiang Chen and Rongmu Yan
Xiamen University, Xiamen University
Abstract : In this paper, we prove that a complex Finsler manifold is a complex locally Minkowski space if and only if it is a strictly K\"{a}hler-Berwald manifold with zero holomorphic sectional curvature.
Keywords : complex Berwald manifold, holomorphic sectional curvature, complex locally Minkowski space
MSC numbers : 53C56, 32Q99
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