대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제12권4호
  • /
  • Pages.975-984
  • /
  • 1997
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

Conformal transformations of difference tensors of Finsler space with an $(alpha,beta)$-metric

  • Lee, Yong-Duk (Department of Mathematics Yeungnam Junior College)
  • 발행 : 1997.10.01
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초록

In the Finsler space with an $(\alpha, \beta)$-metric, we can consider the difference tensors of the Finsler connection. The properties of the conformal transformation of these difference tensors are investigated in the present paper. Some conformal invariant tensors are formed in the Finsler space with an $(\alpha, \beta)$-metric related with the difference tensors.

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참고문헌

  1. The theory of sprays and Finsler spaces with applications in physics and biology P. L. Antonelli;R. S. Ingarden;M. Matsumoto
  2. J. Math. Kyoto univ. v.16 On conformal transformations of Finsler metric M. Hashiguchi
  3. Rep. Fac. Sci. v.10 On some special (α, β)-metrics M. Hashiguchi;Y. Ichijyo
  4. Tensor N.S. v.17 A Finsler connection with many torsions M. Matsumoto
  5. Foundations of Finaler geometry and special Finsler spaces M. Matsumoto
  6. Rep. Math. phy. v.31 Theory of Finsler space with (α, β)-metric M. Matsumoto
  7. J. of Hokkaido univ. of Education v.35 On Finsler space with (α, β)-metric C. Shibata