Article
2023
·
1 citations
A study on the tangent bundle with the vertical generalized Berger type deformed Sasaki metric
Chaoui, Saadia, Zagane, Abderrahim, Gezer, Aydin, Djaa, Nour Elhouda
Abstract
In this paper, we introduce a vertical generalized Berger type deformed Sasaki metric on the tangent bundle TM over an anti-paraKahler 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 co-unit tangent bundle equipped with the vertical generalized Berger type deformed Sasaki metric.
Keywords
Tangent bundle
anti-paraKahler manifolds
Riemannian curvature tensor
co-unit tangent bundle
vertical generalized Berger type deformed Sasaki metric
WoS Categories
Mathematics
Statistics & Probability
Citation
- Journal
- HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
- Year
- 2023
- Volume
- 52
- Issue
- 5
- Pages
- 1179-1197
- eISSN
- 2651-477X
- DOI
- 10.15672/hujms.1091758
- WoS UID
- WOS:001104633800003