On Ricci-Tensor of Randers Metrics
arXiv:1005.5590 · doi:10.1016/j.geomphys.2010.05.016
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-°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 °ag curvature is of zero °ag curvature.
This article accepted in Journal of Geometry and Physics, 2010
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- Two Families of Finsler Metrics Projectively Related to a Kropina Metric
- Generalized Isotropic Berwald Manifolds
- Finslerian geometrodynamics
- On Doubly Warped Product Finsler Manifolds
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