TWISTED SASAKIAN METRIC ON THE TANGENT BUNDLE AND HARMONICITY

被引：1

作者：

Latti, Fethi ^{[1
]}

Elhendi, Hichem ^{[2
]}

Belarbi, Lakehal ^{[3
]}

机构：

[1] Univ Ctr Naama, Dept Math, BP 66, Naama 45000, Algeria

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

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

来源：

JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS | 2021年 / 62卷

关键词：

Harmonic vector field; horizontal lift; twisted Sasakian metric; vertical lift;

D O I：

10.7546/jgsp-62-2021-53-66

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In the present paper, we introduce a new class of natural metrics on the tangent bundle TM of the Riemannian manifold (M, g) denoted by G(f,h) which is named a twisted Sasakian metric. A necessary and sufficient conditions under which a vector field is harmonic with respect to the twisted Sasakian metric are established. Some examples of harmonic vector fields are presented as well.

引用

页码：53 / 66

页数：14

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