On complete Finsler spaces of constant negative Ricci curvature
On complete Finsler spaces of constant negative Ricci curvature
Here, using the projectively invariant pseudo-distance and Schwarzian derivative, it is shown that every connected complete Finsler space of the constant negative Ricci scalar is reversible. In particular, every complete Randers metric of constant negative Ricci (or flag) curvature is Riemannian.