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

页码：1709 / 1721

页数：13

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