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Mathematics of the USSR-Izvestiya, 1987, Volume 29, Issue 3, Pages 629–658
DOI: https://doi.org/10.1070/IM1987v029n03ABEH000986 (Mi im1573) 		 
This article is cited in 99 scientific papers (total in 99 papers)

The topology of surfaces of constant energy in integrable Hamiltonian systems, and obstructions to integrability

A. T. Fomenko
English version PDF (2282 kB) Citations (99) Russian version article
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DOI: https://doi.org/10.1070/IM1987v029n03ABEH000986
Abstract: The surfaces of constant energy in integrable Hamiltonian systems which possess Bott integrals are classified. A complete topological classification is given of surgery of Liouville tori in general position in integrable Hamiltonian systems.
Bibliography: 28 titles.
Received: 14.01.1985
Bibliographic databases:
Document Type: Article
UDC: 513.944
MSC: Primary 58F05, 58F07, 57R65; Secondary 70H10
Language: English
Original paper language: Russian
Citation: A. T. Fomenko, “The topology of surfaces of constant energy in integrable Hamiltonian systems, and obstructions to integrability”, Math. USSR-Izv., 29:3 (1987), 629–658
Citation in format AMSBIB
\Bibitem{Fom86}
\by A.~T.~Fomenko
\paper The topology of surfaces of constant energy in integrable Hamiltonian systems, and obstructions to integrability
\jour Math. USSR-Izv.
\yr 1987
\vol 29
\issue 3
\pages 629--658
\mathnet{http://mi.mathnet.ru//eng/im1573}
\crossref{https://doi.org/10.1070/IM1987v029n03ABEH000986}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=883162}
\zmath{https://zbmath.org/?q=an:0649.58019|0619.58023}
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    • This publication is cited in the following 99 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
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