On $g$-natural conformal vector fields on unit tangent bundles

Abbassi, Mohamed Tahar Kadaoui   ; Amri, Noura

Czechoslovak Mathematical Journal, Tome 71 (2021) no. 1, pp. 75-109

Abstract (VO)

We study conformal and Killing vector fields on the unit tangent bundle, over a Riemannian manifold, equipped with an arbitrary pseudo-Riemannian $g$-natural metric. We characterize the conformal and Killing conditions for classical lifts of vector fields and we give a full classification of conformal fiber-preserving vector fields on the unit tangent bundle endowed with an arbitrary pseudo-Riemannian Kaluza-Klein type metric.

Détail

DOI : 10.21136/CMJ.2020.0193-19

Classification : 53C07, 53C24, 53C25
Keywords: conformal vector field; unit tangent bundle; $g$-natural metric

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