On Ricci-Tensor of Randers Metrics
Differential Geometry
2015-05-19 v1
Abstract
In this paper, we study Randers metrics and find a condition on Ricci tensor of these metrics to be Berwaldian. This generalize Shen's Theorem which says: every R-{\deg}at complete Randers metric is locally Minkowskian. Then we find a necessary and sufficient condition on Ricci tensor under which a Randers metric of scalar {\deg}ag curvature is of zero {\deg}ag curvature.
Keywords
Cite
@article{arxiv.1005.5590,
title = {On Ricci-Tensor of Randers Metrics},
author = {A. Tayebi and E. Peyghan},
journal= {arXiv preprint arXiv:1005.5590},
year = {2015}
}
Comments
This article accepted in Journal of Geometry and Physics, 2010