Complete Finsler spaces of constant negative Ricci curvature

Abstract

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.

To appear in International Journal of Geometric Methods in Modern Physics

References in corpus (2)

• Einstein Finsler Metrics and Killing Vector Fields on Riemannian Manifolds
• On a Projectively Invariant Pseudo-distance in Finsler geometry

Cited by in corpus (2)

• The Schwarzian derivative on Finsler manifolds of constant curvature
• On projective symmetries on Finsler Spaces