This article is cited in 5 papers

Exact smooth classification of hamiltonian vector fields on two-dimensional manifolds

B. S. Kruglikov

M. V. Lomonosov Moscow State University

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.

UDC: 517.938.5

Received: 17.11.1994
Revised: 23.11.1995

DOI: 10.4213/mzm1493

 English version: Mathematical Notes, 1997, 61:2, 146–163

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