Closed Reeb orbits on contact type hypersurfaces in $T^*S^n$
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914379615698944 |
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| author | Duan, Huagui Qi, Zihao |
| author_facet | Duan, Huagui Qi, Zihao |
| contents | In this paper, it is proved that under dynamically convex condition, there exist at least $[\frac{n+1}{2}]$ closed Reeb orbits on a closed contact type hypersurface in $T^*S^n$ enclosing the zero section and bounding a simply connected Liouville domain. Furthermore, if the contact form is non-degenerate and has finitely many closed Reeb orbits, then there exist at least two irrationally elliptic closed Reeb orbits. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_07894 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Closed Reeb orbits on contact type hypersurfaces in $T^*S^n$ Duan, Huagui Qi, Zihao Symplectic Geometry Dynamical Systems 37J46, 37J55, 53D40, 58E05 In this paper, it is proved that under dynamically convex condition, there exist at least $[\frac{n+1}{2}]$ closed Reeb orbits on a closed contact type hypersurface in $T^*S^n$ enclosing the zero section and bounding a simply connected Liouville domain. Furthermore, if the contact form is non-degenerate and has finitely many closed Reeb orbits, then there exist at least two irrationally elliptic closed Reeb orbits. |
| title | Closed Reeb orbits on contact type hypersurfaces in $T^*S^n$ |
| topic | Symplectic Geometry Dynamical Systems 37J46, 37J55, 53D40, 58E05 |
| url | https://arxiv.org/abs/2603.07894 |