Abstract We introduce the warped product of two holomorphic Finsler algebroids and we define a complex Finsler function on it. We study the Chern-Finsler connections of the bundles and of their product and we investigate their curvatures. We use the geometrical setting of the prolongations of the two bundles to obtain some similar and some different properties from the ones of the warped product of Finsler manifolds.

中文翻译：

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全纯李代数体的翘曲积

摘要 我们介绍了两个全纯 Finsler 代数体的翘曲积，并在其上定义了一个复 Finsler 函数。我们研究丛及其乘积的陈-芬斯勒连接，并研究它们的曲率。我们使用两个丛的延长线的几何设置来获得与 Finsler 流形的翘曲积的一些相似和一些不同的性质。