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On g-Natural Conformal Vector Fields on Unit Tangent Bundles

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Abstract

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.

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Acknowledgement

The authors are very grateful to the anonymous referee for his valuable comments and suggestions improving this paper.

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Authors and Affiliations

  1. Laboratory of Mathematical Sciences and Applications, Department of Mathematics, Faculty of Sciences Dhar El Mahraz, University Sidi Mohamed Ben Abdal-Iah, B.P. 1796, Fès-Atlas, Fez, Morocco

    Mohamed Tahar Kadaoui Abbassi & Noura Amri

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  1. Mohamed Tahar Kadaoui Abbassi
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  2. Noura Amri
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Correspondence to Mohamed Tahar Kadaoui Abbassi.

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Abbassi, M.T.K., Amri, N. On g-Natural Conformal Vector Fields on Unit Tangent Bundles. Czech Math J 71, 75–109 (2021). https://doi.org/10.21136/CMJ.2020.0193-19

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  • DOI: https://doi.org/10.21136/CMJ.2020.0193-19

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