A new Weyl-type curvature tensor characterizes Finsler metrics of constant flag curvature and generates new explicit families of projectively flat Finsler metrics with constant negative or zero flag curvature.
and Matsumoto M.: The theory of sprays and Finsler spaces with applications in physics and biology , FTPH 58, Kluwer Academic Publishers, 1993
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New classes of projectively related Finsler metrics of constant flag curvature
A new Weyl-type curvature tensor characterizes Finsler metrics of constant flag curvature and generates new explicit families of projectively flat Finsler metrics with constant negative or zero flag curvature.