Some Results on Harmonic Metrics

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Kadi F. Z., Kacimi B., ÖZKAN M.

Mediterranean Journal of Mathematics, cilt.20, sa.3, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 20 Sayı: 3
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s00009-023-02320-6
  • Dergi Adı: Mediterranean Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Harmonic maps, Sasaki lift, complete lift, Riemannian extension
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we prove that the harmonicity of a metric on a pseudo-Riemannian manifold is equivalent to the harmonicity of both its Sasaki (resp. complete) lift metric on the tangent bundle and its Sasaki lift metric (resp. the Riemannian extension of the Levi-Civita connection) on the cotangent bundle, meanwhile we deal with harmonic metrics on warped product spaces. Some applications are included.