科研之友
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摘要
Let (M, F) be the product complex Finsler manifold of two strongly pseudoconvex complex Finsler manifolds (M(1), F(1)) and (M(2), F(2)). In this paper, we obtain the relationship between the Chern Finsler connection coefficients Gamma(i)(;kappa) associated to F and the Chern Finsler connection coefficients Gamma(a)(;c), Gamma(alpha)(;gamma) associated to F(1), F(2), respectively. As applications we prove that, if both (M(1), F(1)) and (M(2), F(2)) are strongly Kahler Finsler (complex Berwald, or locally complex Minkowski, respectively) manifolds, so does (M, F). Furthermore, we prove that the holomorphic curvature K(F) = 0 if and only if K(F1) = 0 and K(F2) = 0.
- 出版日期2011-7
- 单位厦门大学
