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ON A FINSLER SPACE WITH (α, β)-METRIC AND CERTAIN METRICAL NON-LINEAR CONNECTION

  • Published : 2006.01.01

Abstract

The purpose of this paper is to introduce an L-metrical non-linear connection $N_j^{*i}$ and investigate a conformal change in the Finsler space with $({\alpha},\;{\beta})-metric$. The (v)h-torsion and (v)hvtorsion in the Finsler space with L-metrical connection $F{\Gamma}^*$ are obtained. The conformal invariant connection and conformal invariant curvature are found in the above Finsler space.

Keywords

References

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Cited by

  1. Randers space with special nonlinear connection vol.29, pp.1, 2008, https://doi.org/10.1134/S1995080208010071
  2. On an R-Randersmth-Root Space vol.2013, 2013, https://doi.org/10.1155/2013/649168