Complete Finsler spaces of constant negative Ricci curvature
Differential Geometry
2020-04-22 v1
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.
Keywords
Cite
@article{arxiv.2002.08008,
title = {Complete Finsler spaces of constant negative Ricci curvature},
author = {Behroz Bidabad and Maryam Sepasi},
journal= {arXiv preprint arXiv:2002.08008},
year = {2020}
}
Comments
To appear in International Journal of Geometric Methods in Modern Physics