2 papers
math.DG2026
On rigidity of Finsler manifolds without conjugate points and with constant -curvature
Anthony J. García, José Barbosa Gomes, Rafael O. Ruggiero
We study rigidity phenomena in closed Finsler manifolds without conjugate points under assumptions on the -curvature. We prove that a closed Finsler manifold with constant…
math.MG2018
Periodic Solutions of Hilbert's Fourth Problem
Juan-Carlos Álvarez Paiva, José Barbosa Gomes
It is shown that a possibly irreversible Finsler metric on the torus, or on any other compact Euclidean space form, whose geodesics are straight lines is the sum of a flat me…