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Obstructions for Seifert fibrations and an extension of the Bolsinov-Fomenko theorem on integrable Hamiltonian systemsRepovš, Dušan, 1954- ; Skopenkov, Arkadij B.Leta 1994 sta Bolsinov in Fomenko dokazala izrek o topološki orbitalni klasifikaciji nedegeneriranih integrabilnih Hamiltonovih sistemov z dvema prostostnima stopnjama na 3-dimenzionalnih ... mnogoterostih konstantne energije. Morala sta privzeti omejitev, da Hamiltonovi sistemi nimajo nestabilnih izoliranih periodičnih orbit z neorientabilno separatriso. V našem članku dokažemo, da velja Bolsinov-Fomenkov izrek tudi brez te omejitve.Source: Russian Mathematical Surveys. - ISSN 0036-0279 (Let. 54, št. 3, 1999, str. 652-653)Type of material - article, component partPublish date - 1999Language - englishCOBISS.SI-ID - 9381209
Author
Repovš, Dušan, 1954- |
Skopenkov, Arkadij B.
Topics
matematika |
topologija |
topološka orbitalna klasifikacija |
integrabilni Hamiltonovi sistemi |
Seifertovi svežnji |
Seifertova vlaknenja |
mnogoterosti konstantne energije |
neorientabilna separatrisa |
mathematics |
topology |
topological orbital classification |
non-degenerate integrable Hamiltonian systems |
non-orientable separatrix diagrams |
Seifert fibrations |
constant energy manifolds |
Seifert sections |
▫$t$▫-labeled graphs |
▫$t$▫-equivalences |
admissible cycles |
2-atoms |
doubles |
stars |
3-atoms
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Repovš, Dušan, 1954- | 07083 |
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