Integrable geodesic flow with positive topological entropy
نویسنده
چکیده
such that i) the geodesic flow on MA is (Liouville) integrable by C ∞ first integrals; ii) the geodesic flow on MA is not (Liouville) integrable by real-analytic first integrals; iii) the topological entropy of the geodesic flow Ft is positive; iv) the fundamental group π1(MA) of the manifold MA has an exponential growth; v) the unit covector bundle SMA contains a submanifold N such that N is diffeomorphic to the 2-torus T 2 and the restriction of F1 onto N is the Anosov automorphism given by matrix (1).
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