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http://dx.doi.org/10.4134/BKMS.2012.49.1.049

CHARACTERIZING COMPLEX LOCALLY MINKOWSKI SPACES BY HOLOMORPHIC SECTIONAL CURVATURE  

Chen, Xinxiang (School of Mathematical Science Xiamen University)
Yan, Rongmu (School of Mathematical Science Xiamen University)
Publication Information
Bulletin of the Korean Mathematical Society / v.49, no.1, 2012 , pp. 49-55 More about this Journal
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$\ddot{a}$hler-Berwald manifold with zero holomorphic sectional curvature.
Keywords
complex Berwald manifold; holomorphic sectional curvature; complex locally Minkowski space;
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