Homogeneous and flow-invariant geometry on the unit tangent bundle of hyperbolic space

Daniel Koama, Léonard Todjihoundé

We construct the Sasaki metric on the unit tangent bundle $U_{g}M$ of a Riemannian manifold $(M,g)$ and describe the unit tangent bundle $U{\mathbb{H}}^n$ of real hyperbolic space a…