On spherically symmetric Finsler metrics of scalar curvature. (English) Zbl 1250.53023
Summary: Spherically symmetric Finsler metrics form a rich class of Finsler metrics. In this paper we find equations that characterize spherically symmetric Finsler metrics of scalar flag curvature. By using these equations, we construct infinitely many non-projectively flat spherically symmetric Finsler metrics of scalar curvature.
MSC:
| 53B40 | Local differential geometry of Finsler spaces and generalizations (areal metrics) |
References:
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