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math.DG2021★ 1 cited
Rigidity results for geodesically reversible Finsler metrics
Juan-Carlos Alvarez Paiva
A Finsler metric is geodesically reversible if geodesics remain geodesics after a change of orientation. Asymmetric norms on vector spaces and Funk metrics in the interior of conve…
math.DG2013★ 7 cited
Asymmetry in Hilbert's fourth problem
Juan-Carlos Alvarez Paiva
In the asymmetric setting, Hilbert's fourth problem asks to construct and study all (non-reversible) projective Finsler metrics: Finsler metrics defined on open, convex subsets of…