全纯李代数群的翘曲积

Pub Date : 2020-03-01 DOI:10.2478/auom-2020-0009

A. Ionescu, G. Munteanu

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引用次数: 0

摘要

摘要引入了两个全纯Finsler代数群的翘曲积，并在其上定义了复Finsler函数。我们研究了束及其积的chen - finsler连接，并研究了它们的曲率。利用这两个束的延伸的几何设置，得到了与费斯勒流形的翘曲积的一些相似的性质和一些不同的性质。

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The warped product of holomorphic Lie algebroids

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.

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