CHARACTERIZING COMPLEX LOCALLY MINKOWSKI SPACES BY HOLOMORPHIC SECTIONAL CURVATURE

Title & Authors
CHARACTERIZING COMPLEX LOCALLY MINKOWSKI SPACES BY HOLOMORPHIC SECTIONAL CURVATURE
Chen, Xinxiang; Yan, Rongmu;

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$\small{\ddot{a}}$hler-Berwald manifold with zero holomorphic sectional curvature.
Keywords
complex Berwald manifold;holomorphic sectional curvature;complex locally Minkowski space;
Language
English
Cited by
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