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- W3106134908 abstract "This paper studies the existence of invariant smooth Lagrangian graphs for Tonelli Hamiltonian systems with symmetries. In particular, we consider Tonelli Hamiltonians with n independent but not necessarily involutive constants of motion and obtain two theorems reminiscent of the Liouville-Arnold theorem. Moreover, we also obtain results on the structure of the configuration spaces of such systems that are reminiscent of results on the configuration space of completely integrable Tonelli Hamiltonians." @default.
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- W3106134908 date "2012-08-26" @default.
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- W3106134908 title "Weak Liouville-Arnol′d Theorems and Their Implications" @default.
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- W3106134908 doi "https://doi.org/10.1007/s00220-012-1536-6" @default.
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