On Some Explicit Constructions of Finsler Metrics with Scalar Flag Curvature
Published online by Cambridge University Press: 20 November 2018
We give an explicit construction of polynomial (of arbitrary degree) $(\alpha ,\,\beta )$-metrics with scalar flag curvature and determine their scalar flag curvature. These Finsler metrics contain all nontrivial projectively flat $(\alpha ,\,\beta )$-metrics of constant flag curvature.
- Research Article
- Copyright © Canadian Mathematical Society 2010
This work is supported by the National Natural Science Foundation of China 10471001.
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