Resumen de Smooth k-basic Finsler compact surfaces with expansive geodesic flows are Riemannian

José Barbosa Gomes, Rafael O. Ruggiero

• We show that C4 k-basic compact Finsler surfaces whose geodesic flows are expansive are in fact Riemannian. A Finsler surface is called k-basic if the Gauss-Finsler curvature does not depend on the vertical variable.