Rough Classification of Integrable Hamiltonians on Four-Dimensional Symplectic Manifolds

  • A. T. Fomenko


This work develops, in particular, important ideas from the famous paper of S. Smale “Topology and mechanics” [1]. The theory which is the subject of the present paper gives, in particular, the answer to some questions formulated by Marsden, Ratiu, Novikov, Arnold, Weinstein, Adler, van Moerbeke, Scovel, Flaschka, Kozlov, Gray, McLaughlin, and Haine. These scientific discussions were important and the author expresses his thanks to all these specialists.


Hamiltonian System Domain Versus Tubular Neighborhood Klein Bottle Integrable Hamiltonian System 
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© Springer-Verlag New York, Inc. 1993

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  • A. T. Fomenko

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