Work

The Unit Bundle of a Real Hyperbolic Space

Year: 2024

Type: article

Abstract: The purpose of this article is to study the two homogeneous structures of the unit bundle of a real hyperbolic space, namely and In both the cases, we determine the -invariant Riemannian metrics. In passing, we examine whether the geodesic flow is an isometry of when equipped with its Levi-Civita metric. Finally, we study the manifold of geodesics of seen as a homogeneous space.

Source: JP Journal of Geometry and Topology

DOI: 10.17654/0972415x24007

Authors: Alfred TOURÉ, Daniel KOAMA, Mikaïlou COMPAORÉ, Marie Françoise OUEDRAOGO

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4405759902

FWCI:

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