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1. CJM 2010 (vol 62 pp. 1325)
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On Some Explicit Constructions of Finsler Metrics with Scalar Flag Curvature
We give an explicit construction of polynomial (\emph{of
arbitrary degree}) $(\alpha,\beta)$-metrics with scalar flag curvature
and determine their scalar flag curvature. These Finsler metrics
contain all non-trivial projectively flat $(\alpha,\beta)$-metrics of
constant flag curvature.
Keywords:Finsler metric, scalar curvature, projective flatness Category:58E20 |