DOI: 10.15672/hujms.1091758 ISSN:

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

Saadia CHAOUİ, Abderrahım ZAGANE, Aydın GEZER, Nour Elhouda DJAA
  • Geometry and Topology
  • Statistics and Probability
  • Algebra and Number Theory
  • Analysis
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In this paper, we introduce the vertical generalized Berger type deformed Sasaki metric on the tangent bundle $TM$ over an anti-paraK\"{a}hler manifold as a new natural metric. Firstly, we investigate the Levi-Civita connection of this metric and then calculate all forms of the Riemannian curvature tensors. Also, we present some results concerning curvature properties. Finally, we study the geometry of $\varphi $-unit tangent bundle equipped with vertical generalized Berger type deformed Sasaki metric.

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