Topological structure of simple pro-Hamiltonian flows on the Möbius strip
UDC 515.1 We investigate the topological properties of flows on the Möbius strip, whose lift to a double cover, which is a cylinder, consists of Hamiltonian flows with a Hamiltonian that is a Morse function, constant on the boundary components. We construct a topological classification of such simpl...
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| Datum: | 2026 |
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| Hauptverfasser: | , , , , |
| Format: | Artikel |
| Sprache: | Ukrainisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/9029 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 515.1
We investigate the topological properties of flows on the Möbius strip, whose lift to a double cover, which is a cylinder, consists of Hamiltonian flows with a Hamiltonian that is a Morse function, constant on the boundary components. We construct a topological classification of such simple flows using distinguishing graphs made up of rooted trees, which are Reeb graphs. The resulting recursive formula calculates the number of topologically non-equivalent flows with a given number of saddles. |
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| DOI: | 10.3842/umzh.v77i9.9029 |