切线束上的扭曲sasaki度量与调和性

IF 0.5 Q4 PHYSICS, MATHEMATICAL Journal of Geometry and Symmetry in Physics Pub Date : 2021-01-01 DOI:10.7546/jgsp-62-2021-53-66

F. Latti, H. Elhendi, L. Belarbi

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引用次数: 1

摘要

本文在黎曼流形$(M,g)$的切束$TM$上引入了一类新的自然度量，表示为$ g ^{f,h}$，命名为扭曲Sasakian度量。建立了向量场相对于扭曲Sasakian度规是调和的充分必要条件。文中还给出了一些谐波矢量场的例子。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Twisted Sasakian Metric on the Tangent Bundle and Harmonicity

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.

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来源期刊

Journal of Geometry and Symmetry in Physics PHYSICS, MATHEMATICAL-

CiteScore

1.50

自引率

25.00%

发文量

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