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g‐natural symmetries on tangent bundles

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Listed:
  • Mohamed Tahar Kadaoui Abbassi
  • Noura Amri
  • Giovanni Calvaruso

Abstract

The study of symmetries is a well known research topic in differential geometry with relevant physical interpretations. Given a Riemannian manifold (M,g), we consider pseudo‐Riemannian g‐natural metrics G on its tangent bundle TM and characterize conformal, homothetic and Killing vector fields of (TM,G) obtained from natural lifts of vector fields of M.

Suggested Citation

  • Mohamed Tahar Kadaoui Abbassi & Noura Amri & Giovanni Calvaruso, 2020. "g‐natural symmetries on tangent bundles," Mathematische Nachrichten, Wiley Blackwell, vol. 293(10), pages 1873-1887, October.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:10:p:1873-1887
    DOI: 10.1002/mana.201900158
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