Distinguished Connections on Finsler Algebroids

被引：1
作者：
Peyghan, Esmaeil [1 ]
Gezer, Aydin [2 ]
Gultekin, Inci [2 ]
机构：
[1] Arak Univ, Dept Math, Fac Sci, Arak 3815688349, Iran
[2] Ataturk Univ, Dept Math, Fac Sci, TR-25240 Erzurum, Turkey
来源：
CHINESE ANNALS OF MATHEMATICS SERIES B | 2021年 / 42卷 / 01期
关键词：
Chern-Rund connection; Distinguished connections; Finsler algebroid; Hashiguchi connection; Lie algebroid;
D O I：
10.1007/s11401-021-0244-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Considering the prolongation of a Lie algebroid, the authors introduce Finsler algebroids and present important geometric objects on these spaces. Important endomorphisms like conservative and Barthel, Cartan tensor and some distinguished connections like Berwald, Cartan, Chern-Rund and Hashiguchi are introduced and studied.
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页码：41 / 68
页数：28
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