On projectively flat Kropina metrics
Differential Geometry
2013-04-10 v2
Abstract
In this paper, a characteristic condition of the projectively flat Kropina metric is given. By it, we prove that a Kropina metric with constant curvature and is projectively flat if and only if is locally Minkowskian.
Cite
@article{arxiv.1304.1612,
title = {On projectively flat Kropina metrics},
author = {Xiaoling Zhang and Yibing Shen},
journal= {arXiv preprint arXiv:1304.1612},
year = {2013}
}
Comments
This paper has been withdrawn by the author due to a crucial improvement