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Obstructions for Seifert fibrations and an extension of the Bolsinov-Fomenko theorem on integrable Hamiltonian systems
Repovš, 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.
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