Closed Reeb orbits on contact type hypersurfaces in T^*Sⁿ

2026/03/09 by Huagui Duan, Zihao Qi · 1 voice
Mathematics · #math.SG #math.DS

paper · pdf

Abstract

In this paper, it is proved that under dynamically convex condition, there exist at least [(n+1)/(2)] closed Reeb orbits on a closed contact type hypersurface in T^*Sⁿ 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.

Citations

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• Local contact homology and applications
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Discussions

• Huagui Duan, Zihao Qi: Closed Reeb orbits on contact type hypersurfaces in $T^*S^n$ https://arxiv.org/abs/2603.07894 https://arxiv.org/pdf/2603.07894 https://arxiv.org/html/2603.07894 [bsky, 0 points, 0 comments]

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