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A Classification of Conformal Vector Fields on the Tangent Bundle

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Ukrainian Mathematical Journal Aims and scope

Let (M,g) be a Riemannian manifold and let TM be its tangent bundle equipped with a Riemannian (or pseudo-Riemannian) lift metric derived from g. We give a classification of infinitesimal fiber-preserving conformal transformations on the tangent bundle.

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Authors and Affiliations

  1. Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran

    Z. Raei & D. Latifi

Authors
  1. Z. Raei
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  2. D. Latifi
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Correspondence to D. Latifi.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, No. 5, pp. 694–704, May, 2020.

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Raei, Z., Latifi, D. A Classification of Conformal Vector Fields on the Tangent Bundle. Ukr Math J 72, 803–815 (2020). https://doi.org/10.1007/s11253-020-01823-9

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  • DOI: https://doi.org/10.1007/s11253-020-01823-9

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