Projectively flat Finsler metrics of constant flag curvature

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Spherically symmetric Finsler metrics in $R^n$ (2010, background): “3 [9] Suppose F = F (x, y) is a projective Finlser metric on a convex domain Ω ⊆ R.”
ON A CLASS OF PROJECTIVELY FLAT FINSLER METRICS WITH CONSTANT FLAG CURVATURE (2007, unknown): “In [9], we have given the Taylor extensions at the origin 0 ∈ R for x-analytic projectively flat metrics F = F (x, y) of constant flag curvature K.”
Projective spherically symmetric Finsler metrics with constant flag curvature in Rn (2010, background): “As we know, the Hilbert’s Fourth problem relates to classify the projective Finsler metric in R which is still one of the motivation in Finsler geometry [7].”
On a Class of Projectively Flat Metrics with Constant Flag Curvature (2008, background): “See [13] for other examples.”
Finsler manifolds with nonpositive flag curvature and constant S-curvature (2003, methodology): “Then using the above formula for G i and (9), one can easily show that F has constant flag curvature K = − 1 (see Example 5.3 in [ 19 ]).”
On Hilbert's fourth problem (2013, background): “In his paper [97], Shen described a class of smooth projective Finsler metrics of constant flag curvature using algebraic equations.”
On the Flag Curvature of Finsler Metrics of Scalar Curvature (2003, unknown): “Projectively flat Finsler metrics on a convex domain in Rn are regular solutions to Hilbert’s fourth problem [18].”