A structure by conformal transformations of Finsler functions on the projectivised tangent bundle of Finsler spaces with the Chern connection

نویسندگان

  • Shigeo Fueki
  • Hiroshi Endo
چکیده

It is shown that the projectivised tangent bundle of Finsler spaces with the Chern connection has a contact metric structure under a conformal transformation with certain condition of the Finsler function and moreover it is locally isometric to E × Sm−1(4) for m > 2 and flat for m = 2 if and only if the Cartan tensor vanishes, i.e., the Finsler space is a Riemannian manifold. M.S.C. 2000: 53C60, 53D10.

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تاریخ انتشار 2007