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math.DG2026
An upper bound for the mean Lorentz force of magnetic flows without conjugate points in terms of the geodesic curvature of horocycles
Anthony J. García, Rafael O. Ruggiero
We study magnetic flows on closed Riemannian surfaces of genus at least two. Let be a surface without focal points and let be a magnetic field. We prove that, above the…
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…