대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제15권2호
  • /
  • Pages.331-338
  • /
  • 2000
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

On Special finsler Spaces With Common Geodesics

  • 발행 : 2000.04.01
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초록

In the present paper, we investigate a problem in a sym-metric Finsler space, which is a special space. First we prove that if a symmetric space remains to be a symmetric one under the Z-projective change, then the space is of zero curvature. Further we will study W-recurrent space and D-recurrent space under the pro-jective change.

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참고문헌

  1. The theory of sprays and Finsler spaces with applications in physics and biology P. L. Antonelli;R. Ingarden;M. Matsumoto
  2. Col. Math. Soci. Janos Bolyal v.46 A note on geodesic mappings of Finsler spaces S. Bacso
  3. On the Finsler spaces of Douglas type. A generalization of the notion of Berwald spaces v.51 S. Bacso;M. Matsumoto
  4. Tensor, N. S v.35 On projective mapping in Finsler geometry M. Fukui;T. Yamada
  5. Foundation of Finsler geometry and special Finsler spaces M. Matsumoto
  6. Tensor. N. S v.23 Projective motion in a symmetric Finsler space F. M. Meher
  7. Tensor, N. S v.42 On projective mapping in a Finsler space S. C. Rastogi
  8. The differential geometry of Finster spaces H. Rund