대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제21권1호
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  • Pages.177-183
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  • 2006
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON A FINSLER SPACE WITH (α, β)-METRIC AND CERTAIN METRICAL NON-LINEAR CONNECTION

  • 발행 : 2006.01.01
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초록

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.

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참고문헌

  1. P. L. Antonelli, R. S. Ingarden, and M. Matsumoto, The theory of sprays and Finsler spaces with applications in physics and biology, Kluwer Acad. Publ., The Netherlands, 1993
  2. M. Hashiguchi, On conformal transformations of Finsler metrics, J. Math. Kyoto Univ. 16 (1976), 25-50 https://doi.org/10.1215/kjm/1250522956
  3. Y. Ichijyo, On the condition for a {V, H}-manifold to be locally Mincowskian or coformally flat, J. Math. Tokushima Univ. 12 (1979), 13-21
  4. Y. Ichijyo and M. Hashiguchi, On the condition that a Randers space be conformal flat, Rep. Fac. Sci. Kagoshima Univ., (Math. Phys. Chem.) 22 (1989), 7-14
  5. L. Kozma and S. Baran, On metrical homogeneous connections of a Finsler point space, Publ. Math. Debrecen 49 (1996), 59-68
  6. M. Matsumoto, Theory of Finsler spaces with (${\alpha},{\beta}$)-metric, Rep. on Math. Phys.31 (1992), 43-83 https://doi.org/10.1016/0034-4877(92)90005-L

피인용 문헌

  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