On Ricci tensors of Randers metrics
Copyright policy )On Ricci tensors of Randers metrics
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
- University of Qom Iran (Islamic Republic of)
- Arak University Iran (Islamic Republic of)
Mathematics - Differential Geometry, Global differential geometry of Finsler spaces and generalizations (areal metrics), Differential Geometry (math.DG), FOS: Mathematics, Local differential geometry of Finsler spaces and generalizations (areal metrics), Berwald metric, Randers metric, Ricci tensor
Mathematics - Differential Geometry, Global differential geometry of Finsler spaces and generalizations (areal metrics), Differential Geometry (math.DG), FOS: Mathematics, Local differential geometry of Finsler spaces and generalizations (areal metrics), Berwald metric, Randers metric, Ricci tensor
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).17 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!