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PROJECTIVELY FLAT FINSLER SPACES WITH CERTAIN (α, β)-METRICS

  • Published : 2003.11.01

Abstract

The ($\alpha,\;\beta$)-metric is a Finsler metric which is constructed from a Riemannian metric $\alpha$ and a differential 1-form $\beta$. In this paper, we discuss the projective flatness of Finsler spaces with certain ($\alpha,\;\beta$)-metrics ([5]) in a locally Minkowski space.

References

  1. The theory of sprays and Finsler spaces with applications in physics and biology P.L.Antonelli;R.S.Ingarden;M.Matsumoto
  2. Rep. Fac. Sci. Kagoshima Univ.(Math. Phys. Chem.) v.23 On Matsumoto's Finsler space with time measure T.Aikou;M.Hashiguchi;K.Yamauchi
  3. Tensor, N. S. v.55 Projective changes between Finsler spaces with (α, β)-metric S.Bacso;M.Matsumoto
  4. Rep. Fac. Sci. Kagoshima Univ.(Math. Phys. Chem.) v.13 Randers spaces with rectilinear geodesics M.Hashiguchi;Y.Ichijyo
  5. Tensor, N. S. v.50 A special class of locally Minkowski spaces with (α, β)-metric and conformally flat Kropina spaces M.Matsumoto
  6. Rep. on Math. Phys. v.30 Projectively flat Finsler spaces with (α, β)-metric M.Matsumoto https://doi.org/10.1016/0034-4877(91)90035-L
  7. Foundations of Finsler geometry and special Finsler spaces M.Matsumoto
  8. Tensor, N. S. v.56 On Finsler space with a special (α, β)-metric H.S.Park;E.S.Choi

Cited by

  1. 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