Trapped Reeb orbits do not imply periodic ones

DOI10.1007/s00222-014-0500-9zbMath1304.37019arXiv1309.4982OpenAlexW2079445093WikidataQ60228720 ScholiaQ60228720MaRDI QIDQ464829

Hansjörg Geiges, Kai Zehmisch, Nena Röttgen

Publication date: 30 October 2014

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.4982

zbMATH Keywords

Reeb vector fieldcontact manifolds

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Periodic orbits of vector fields and flows (37C27) Contact manifolds (general theory) (53D10)

Related Items (6)

Diffeomorphism type via aperiodicity in Reeb dynamics ⋮ From a Reeb orbit trap to a Hamiltonian plug ⋮ Finsler geodesics, periodic Reeb orbits, and open books ⋮ Reeb orbits trapped by Denjoy minimal sets ⋮ The singular Weinstein conjecture ⋮ Controlled Reeb dynamics -- three lectures not in Cala Gonone

Cites Work

• Isoperimetric inequalities for minimal submanifolds in Riemannian manifolds: a counterexample in higher codimension
• A Hamiltonian characterization of the three-ball
• An Introduction to Contact Topology
• First Steps Towards a Symplectic Dynamics

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