A study on the tangent bundle with the vertical generalized Berger type deformed Sasaki metric

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Chaoui S., Zagane A., GEZER A., Djaa N. E.

Hacettepe Journal of Mathematics and Statistics, cilt.52, sa.5, ss.1179-1197, 2023 (SCI-Expanded) identifier identifier

  • 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
  • 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.