Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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FINSLER SPACES WITH INFINITE SERIES (α, β)-METRIC

  • Published : 2004.05.01
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Abstract

In the present paper, we treat an infinite series ($\alpha$, $\beta$)-metric L =$\beta$$^2$/($\beta$-$\alpha$). First, we find the conditions that a Finsler metric F$^{n}$ with the metric above be a Berwald space, a Douglas space, and a projectively flat Finsler space, respectively. Next, we investigate the condition that a two-dimensional Finsler space with the metric above be a Landsbeg space. Then the differential equations of the geodesics are also discussed.

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References

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  1. RETRACTED: On two subclasses of -metrics being projectively related vol.62, pp.2, 2012, https://doi.org/10.1016/j.geomphys.2011.10.004
  2. Projectively Flat Finsler Space of Douglas Type with Weakly-Berwald (α,β)-Metric vol.18, 2017, https://doi.org/10.18052/www.scipress.com/IJPMS.18.1