Periodic Reeb orbits on prequantization bundles
In this paper, we prove that every graphical hypersurface in a prequantization bundle over a symplectic manifold M, pinched between two circle bundles whose ratio of radii is less than √2 carries either one short simple periodic orbit or carries at least cuplength (M)+1 simple periodic Reeb orbits....
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| Hauptverfasser: | , , |
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| Dokumenttyp: | Article (Journal) |
| Sprache: | Englisch |
| Veröffentlicht: |
2018
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| In: |
Journal of modern dynamics
Year: 2018, Jahrgang: 12, Pages: 123-150 |
| ISSN: | 1930-532X |
| DOI: | 10.3934/jmd.2018005 |
| Online-Zugang: | Resolving-System, Volltext: http://dx.doi.org/10.3934/jmd.2018005 Verlag, Volltext: http://aimsciences.org/article/doi/10.3934/jmd.2018005 
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| Verfasserangaben: | Peter Albers, Jean Gutt and Doris Hein |
| Zusammenfassung: | In this paper, we prove that every graphical hypersurface in a prequantization bundle over a symplectic manifold M, pinched between two circle bundles whose ratio of radii is less than √2 carries either one short simple periodic orbit or carries at least cuplength (M)+1 simple periodic Reeb orbits. |
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| Beschreibung: | Gesehen am 25.01.2019 |
| Beschreibung: | Online Resource |
| ISSN: | 1930-532X |
| DOI: | 10.3934/jmd.2018005 |