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2021 Twisted Sasakian Metric on the Tangent Bundle and Harmonicity
Fethi Latti, Hichem Elhendi, Lakehal Belarbi
J. Geom. Symmetry Phys. 62: 53-66 (2021). DOI: 10.7546/jgsp-62-2021-53-66

Abstract

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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Fethi Latti. Hichem Elhendi. Lakehal Belarbi. "Twisted Sasakian Metric on the Tangent Bundle and Harmonicity." J. Geom. Symmetry Phys. 62 53 - 66, 2021. https://doi.org/10.7546/jgsp-62-2021-53-66

Information

Published: 2021
First available in Project Euclid: 4 February 2022

Digital Object Identifier: 10.7546/jgsp-62-2021-53-66

Rights: Copyright © 2021 Bulgarian Academy of Sciences, Institute of Mechanics

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