| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1894096 | Journal of Geometry and Physics | 2010 | 6 Pages |
Abstract
In this paper, we study Randers metrics and find a condition on the Ricci tensors of these metrics for being Berwaldian. This generalizes Shen’s Theorem which says that every R-flat complete Randers metric is locally Minkowskian. Then we find a necessary and sufficient condition on the Ricci tensors under which a Randers metric of scalar flag curvature is of zero flag curvature.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
A. Tayebi, E. Peyghan,