On Ricci-Tensor of Randers Metrics

Details On Ricci-Tensor of Randers Metrics On Ricci-Tensor of Randers Metrics

2010-05-31

arxiv.org/abs/1005.5590v1

Mathematics

Differential Geometry

This article accepted in Journal of Geometry and Physics, 2010

Scientific paper

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.

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