Metallic Riemannian Structures on the Tangent Bundles of Riemannian Manifolds with g−Natural Metrics

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Altunbaş M.

International Electronic Journal of Geometry, cilt.16, sa.1, ss.95-103, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 16 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.36890/iejg.1145729
  • Dergi Adı: International Electronic Journal of Geometry
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.95-103
  • Anahtar Kelimeler: g-natural metric, metallic Riemannian structure, tangent bundle
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

Let (M, g) be a Riemannian manifold and (TM, ˜g) be its tangent bundle with the g−natural metric. In this paper, a family of metallic Riemannian structures J is constructed on TM, found conditions under which these structures are integrable. It is proved that (TM, ˜g, J) is decomposable if and only if (M, g) is flat.