Work

Exploring the Geometry of the Cotangent Bundle Endowed With Berger-type Deformed Sasaki Metric Over a Standard Kahler Manifold

Year: 2025

Type: article

Abstract: In this paper, we introduce the Berger-type deformed Sasaki metric on the cotangent bundle T * M over a standard Kähler manifold (M 2m , J, g).Firstly, we compute all forms of the curvature tensors of the cotangent bundle with this metric and present some results concerning curvature properties.Secondly, we construct some almost Hermitian structures on a cotangent bundle and search conditions for these structures to be integrable.Finally, we study some geometric properties of the unit cotangent bundle that is endowed with the Berger-type deformed Sasaki metric.

Source: Proceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan

DOI: 10.30546/2409-4994.2025.51.1.1019

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4410849505

FWCI:

Cites: 1

Cited by:

Related to: 10