Resumen de Some Rigidity Theorems for Anosov Geodesic Flows in Manifolds of Finite Volume

Ítalo Melo, Sergio Augusto Romaña Ibarra

• In this paper, we prove that if the geodesic flow of a complete manifold without conjugate points with sectional curvatures bounded below by is of Anosov type, then the constant of contraction of the flow is . Moreover, if M has a finite volume, the equality holds if and only if the sectional curvature is constant. We also apply this result to get a certain rigidity for bi-Lipschitz, and consequently, for -conjugacy between two geodesic flows.