The Maslov Cocycle, Smooth Structures and Real-analytic Complete Integrability
نویسنده
چکیده
This paper proves two main results. First, it is shown that if Σ is a smooth manifold homeomorphic to the standard n-torus Tn = Rn/Zn and H is a real-analytically completely integrable convex hamiltonian on T Σ, then Σ is diffeomorphic to Tn. Second, it is proven that for some topological 7-manifolds, the cotangent bundle of each smooth structure admits a realanalytically completely integrable riemannian metric hamiltonian.
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تاریخ انتشار 2008