The Doubly Warped Product of Holomorphic Lie Algebroids

被引：0

作者：

Ionescu, Ana-Maria ^{[1
]}

Ionescu, Alexandru ^{[1
]}

机构：

[1] Transilvania Univ, Fac Math & Informat, Brasov, Romania

来源：

JOURNAL OF LIE THEORY | 2020年 / 30卷 / 03期

关键词：

Lie algebroid; doubly warped product; prolongation bundle; nonlinear connection; Finsler bundle; SUBMANIFOLDS; MECHANICS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define the doubly warped product of holomorphic Finsler Lie algebroids. We consider a complex Finsler function and the Chern-Finsler connection of the product bundle and we investigate its relation with the Chern-Finsler connections of each bundle. In the geometrical setting of the prolongations of two Finsler algebroids, we obtain similar and also different properties from the ones of the doubly warped product of Finsler manifolds.

引用

页码：767 / 778

页数：12

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