Harmonic vector fields on gradient Sasaki metric

被引：2

作者：

Belarbi, Lakehal ^{[1
]}

Elhendi, Hichem ^{[2
]}

机构：

[1] Univ Mostaganem UMAB, Dept Math, Lab Pure & Appl Math, BP 227, Mostaganem 27000, Algeria

[2] Univ Bechar, Dept Math, POB 417, Bechar 08000, Algeria

来源：

AFRIKA MATEMATIKA | 2023年 / 34卷 / 01期

关键词：

Horizontal lift; Vertical lift; Gradient Sasaki metric; Harmonic vector field;

D O I：

10.1007/s13370-023-01052-w

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce the gradient Sasaki metric on the tangent bundle TM. as a new natural metric on TM. We establish necessary and sufficient conditions under which a vector field is harmonic with respect to the gradient Sasaki metric. We also construct some examples of harmonic vector fields.

引用

页数：12

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