Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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ON THE BERWALD CONNECTION OF A FINSLER SPACE WITH A SPECIAL $({\alpha},{\beta})$-METRIC

  • Published : 1997.04.01
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Abstract

In a Finsler space, we introduce a special $(\alpha,\beta)$-metric L satisfying $L^2(\alpha,\beta) = c_1\alpha^2 + 2c_2\alpha\beta + c_3\beta^2$, which $c_i$ are constants. We investigate the Berwald connection in a Finsler space with this special $\alpha,\beta)$-metric.

Keywords

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.8 On some special (α,?)-metric M. Hashiguchi;Y. Ichijyo
  3. Tensor N. S. v.33 On the condition that a space with (α, ?)-metric be locacally Minkowskin S. Kikuchi
  4. Tensor N. S. v.24 On C-reducible Finsler spaces M. Matsumoto
  5. Foundations of Finsler geometry and special Finsler spaces M. Matsumoto
  6. Tensor N. S. v.50 The Berwald connection of a Finsler space with an (α,?)-metric M. Matsumoto
  7. J. Math. Kyoto Univ. v.22 Minkowskian product of Finsler spaces and Berwald connection T. Okada
  8. Tensor N. S. v.56 On a Finsler space with a special (α,?)-metric H. S. Park;E. S. Choi