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Exact smooth classification of hamiltonian vector fields on two-dimensional manifolds |
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| Authors: | B S Kruglikov |
| Institution: | (1) M. V. Lomonosov Moscow State University, Moscow, USSR |
| Abstract: | A complete exact classification of Hamiltonian systems with Morse Hamiltonians on two-dimensional manifolds is given, i.e., the systems are classified up to diffeomorphisms mapping vector fields into vector fields. The classification imposes no restrictions on Morse functions. Translated fromMatematicheskie Zametki, Vol. 61, No. 2, pp. 179–200, February, 1997. Translated by O. V. Sipacheva |
| Keywords: | Hamiltonian vector field two-dimensional manifold germ Morse function letter-atom deformation retract |
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