全纯李代数群的翘曲积

IF 0.8 4区数学 Q2 MATHEMATICS

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica 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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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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来源期刊

Analele Stiintifice Ale Universitatii Ovidius Constanta-Seria Matematica MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： This journal is founded by Mirela Stefanescu and Silviu Sburlan in 1993 and is devoted to pure and applied mathematics. Published by Faculty of Mathematics and Computer Science, Ovidius University, Constanta, Romania.