On a projectively invariant distance on Einstein Finsler spaces
Differential Geometry
2013-10-03 v1
Abstract
In this work an intrinsic projectively invariant distance is used to establish a new approach to the study of projective geometry in Finsler space. It is shown that the projectively invariant distance previously defined is a constant multiple of the Finsler distance in certain case. As a consequence, two projectively related complete Einstein Finsler spaces with constant negative scalar curvature are homothetic. Evidently, this will be true for Finsler spaces of constant flag curvature as well.
Keywords
Cite
@article{arxiv.1310.0638,
title = {On a projectively invariant distance on Einstein Finsler spaces},
author = {M. Sepasi and B. Bidabad},
journal= {arXiv preprint arXiv:1310.0638},
year = {2013}
}
Comments
11 pages