A classification of conformal vector fields on the tangent bundle

  • Zohre Raei Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran
  • Dariush Latifi Department of Mathematics, University of Mohaghegh Ardabili, Ardabil, Iran https://orcid.org/0000-0002-3468-5453
Keywords: Fibre-preserving vector field, Infinitesimal conformal transformation, Lift metric

Abstract

UDC 514.7

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

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Published
29.04.2020
How to Cite
Raei, Z., and D. Latifi. “A Classification of Conformal Vector Fields on the Tangent Bundle”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 72, no. 5, Apr. 2020, pp. 694–704, doi:10.37863/umzh.v72i5.6013.
Section
Research articles