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arxiv: 1006.3914 · v4 · pith:MQQ7BAZMnew · submitted 2010-06-20 · 🌊 nlin.SI

On bi-integrable natural Hamiltonian systems on the Riemannian manifolds

classification 🌊 nlin.SI
keywords naturalsystemsintegrablemanifoldsriemannianallowsalmostapproach
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We introduce the concept of natural Poisson bivectors, which generalizes the Benenti approach to construction of natural integrable systems on the Riemannian manifolds and allows us to consider almost the whole known zoo of integrable systems in framework of bi-hamiltonian geometry.

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