Geodesic
On $g$-natural conformal vector fields on unit tangent bundles
Czechoslovak Mathematical Journal, Tome 71 (2021) no. 1, pp. 75-109.

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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.
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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Abbassi, Mohamed Tahar Kadaoui; Amri, Noura. On $g$-natural conformal vector fields on unit tangent bundles. Czechoslovak Mathematical Journal, Tome 71 (2021) no. 1, pp. 75-109. doi : 10.21136/CMJ.2020.0193-19. http://geodesic.mathdoc.fr/articles/10.21136/CMJ.2020.0193-19/

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