Deforming a Finsler metric on the two-torus to a flat Finsler metric with conjugate geodesic flows

Geodesics in global differential geometry (53C22) Integral geometry (53C65) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Flows on surfaces (37E35)

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