【摘 要】
：
Let (M,F) be the product complex Finsler manifold of two strongly pseudoconvex complex Finsler manifolds (M1,F1) and (M2,F2).In this paper,we obtain the relatio
【机 构】
：
School of Mathematical Sciences
【基金项目】
：
Program for New Century Excellent Talents in Fujian Provincial University;the Natural Science Foundation of China
论文部分内容阅读
Let (M,F) be the product complex Finsler manifold of two strongly pseudoconvex complex Finsler manifolds (M1,F1) and (M2,F2).In this paper,we obtain the relationship between the Chern Finsler connection coefficients Γi;k associated to F and the Chern Finsler connection coefficients (Γ)a;c,Γa;r associated to F1,F2,respectively.As applications we prove that,if both (M1,F1) and (M2,F2) are strongly K(a)hler Finsler (complex Berwald,or locally complex Minkowski,respectively) manifolds,so does (M,F).Furthermore,we prove that the holomorphic curvature KF =0 if and only if KF1 =0 and KF2 =0.
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