Metallic Riemannian Structures on the Tangent Bundles of Riemannian Manifolds with g−Natural Metrics
International Electronic Journal of Geometry, cilt.16, sa.1, ss.95-103, 2023 (Scopus, TRDizin)
- 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
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- 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.