On the Geometry of Tangent Bundle and Unit Tangent Bundle with Deformed-Sasaki Metric

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

International Electronic Journal of Geometry
Volume:16 Issue:1
On the Geometry of Tangent Bundle and Unit Tangent Bundle with Deformed-Sasaki Metric

On the Geometry of Tangent Bundle and Unit Tangent Bundle with Deformed-Sasaki Metric

Pages : 132-146

View : 51 | Download : 10

Publication Date : 2023-04-30

Article Type : Research Paper

Abstract :Let $insert ignore into journalissuearticles values(M^{m}, g);$ be a Riemannian manifold and $TM$ its tangent bundle equipped with a deformed Sasaki metric. In this paper, firstly we investigate all forms of Riemannian curvature tensors of $TM$ insert ignore into journalissuearticles values(Riemannian curvature tensor, Ricci curvature, sectional curvature and scalar curvature);. Secondly, we study the geometry of unit tangent bundle equipped with a deformed Sasaki metric, where we presented the formulas of the Levi-Civita connection and also all formulas of the Riemannian curvature tensors of this metric.
Keywords : Tangent bundle, deformed Sasaki metric, unit tangent bundle, curvature tensor

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.