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arXiv · 2603.07894

Closed Reeb orbits on contact type hypersurfaces in $T^*S^n$

Huagui Duan·Zihao Qi
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Abstract

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.

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Huagui Duan, Zihao Qi. 2026-03-09. Closed Reeb orbits on contact type hypersurfaces in $T^*S^n$. https://arxiv.org/abs/2603.07894

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