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The $m$-th root Finsler metrics admitting $(\alpha,\beta)$-types

박하용|김병두
대한수학회 (The Korean Mathematical Society)|2004.02|대한수학회보 (Bulletin of the KMS)|제41권 제1호|pp. 45-52

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Abstract

The theory of m-th root metric has been developed byH. Shimada [8], and applied to the biology [1] as an ecologicalmetric. The purpose of this paper is to introduce the m-th rootFinsler metrics which admit (alpha,beta)-types. Especially incases of m=3, 4, we give the condition for Finsler spaces withsuch metrics to be locally Minkowski spaces.

참고문헌 (8)

  1. "R. Ingarden and M. Matsumoto\paper The theory of sprays and Finsler spaces with applicationsin physics and biology \jour Kluwer Acad. publ."
  2. "2 \by Y. Ichijy\B o and M. Hashiguchi \paper On thecondition that a Randers space be conformally flat \jour Rep. Fac.Sci."
  3. "3 \by M. Matsumoto and S. Numata \paper On Finslerspaces with a cubic metric \jour Tensor", (s.)
  4. "4 \by M. Matsumoto \paper A special class of locallyMikowski space with $", (s.)
  5. "5 \bysame \paper Theory of Finsler spaces with$"
  6. "paper Theory of Finslerspaces with $m$-th root metric: Connections and main scalars", 56(s.), pp.93~104 (1995)
  7. "paper On a Finsler spaces with a special $(\alpha,\beta)$-metric", 56, pp.142~148 (1995)
  8. "8 \by H. Shimada \paper On Finsler spaces with themetric $L=", (s.)

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