-natural metrics of constant curvature on unit tangent sphere bundles
M. T. K. Abbassi, Giovanni Calvaruso (2012)
Archivum Mathematicum
Similarity:
We completely classify Riemannian -natural metrics of constant sectional curvature on the unit tangent sphere bundle of a Riemannian manifold . Since the base manifold turns out to be necessarily two-dimensional, weaker curvature conditions are also investigated for a Riemannian -natural metric on the unit tangent sphere bundle of a Riemannian surface.