Projectively flat Randers metrics with constant flag curvature

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On the Flag Curvature of Finsler Metrics of Scalar Curvature (2003, methodology): “3(A) follows from the classification theorem for projectively flat Randers metrics of constant curvature [27].”
On Projectively Flat (α, β)-metrics (2009, unknown): “Then (a) F̄ := ᾱ + β̄ is projectively flat on the unit ball B(1) ⊂ R with constant flag curvature K = −1/4 (see [8]).”
Zermelo navigation on Riemannian manifolds (2003, methodology): “Section 7 contains a discussion of projectively flat Randers metrics of constant flag curvature, and shows that our formalism is able to give important information about the metrics in [29].”
Finsler manifolds with nonpositive flag curvature and constant S-curvature (2003, background): “It is proved that F has constant flag curvature K = − 1 4 and constant S-curvature S = 1 2 (n+ 1)F (see [17][18]).”