A study on the tangent bundle with the vertical generalized Berger type deformed Sasaki metric
Hacettepe Journal of Mathematics and Statistics, cilt.52, sa.5, ss.1179-1197, 2023 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 52 Sayı: 5
- Basım Tarihi: 2023
- Doi Numarası: 10.15672/hujms.1091758
- Dergi Adı: Hacettepe Journal of Mathematics and Statistics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
- Sayfa Sayıları: ss.1179-1197
- Anahtar Kelimeler: anti-paraKähler manifolds, Riemannian curvature tensor, Tangent bundle, vertical generalized Berger type deformed Sasaki metric, φ−unit tangent bundle
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Atatürk Üniversitesi Adresli: Evet
Özet
In this paper, we introduce a vertical generalized Berger type deformed Sasaki metric on the tangent bundle T M over an anti-paraKähler manifold as a new natural metric. Firstly, we investigate the Levi-Civita connection of this metric and then we calculate all forms of the Riemannian curvature tensors. Also, we present some results concerning curvature properties. Finally, we study the geometry of φ-unit tangent bundle equipped with the vertical generalized Berger type deformed Sasaki metric.