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

• Autores: José Barbosa Gomes, Rafael O. Ruggiero
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 37, Nº 3, 2011, págs. 793-806
• Idioma: inglés
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• Resumen

  • 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.