Horizontal lifts of projectable linear connection to semi-tangent bundle

被引：1
|
作者：
Yildirim, Furkan [1 ]
机构：
[1] Ataturk Univ, Dept Math, Fac Sci, TR-25240 Erzurum, Turkey
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2021年 / 50卷 / 06期
关键词：
horizontal lift; projectable linear connection; pullback bundle; semi-tangent bundle; vector field;
D O I：
10.15672/hujms.894782
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main aim of this article is to study the horizontal lifts of projectable linear connection in the semi-tangent bundle tM. The properties of complete and horizontal lifts of projectable linear connection for semi-tangent bundle tM are also investigated. Finally, we examine the infinitesimal linear transformation in the semi-tangent bundle with respect to the horizontal lift of a projectable linear connection.
引用
收藏
页码：1709 / 1721
页数：13
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