From a Reeb orbit trap to a Hamiltonian plug

DOI10.1007/S00013-016-0916-0zbMath1373.37069arXiv1512.04382OpenAlexW2196666348MaRDI QIDQ330085

Hansjörg Geiges, Nena Röttgen, Kai Zehmisch

Publication date: 24 October 2016

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.04382

zbMATH Keywords

periodic orbitReeb vector fieldHamiltonian flow

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Periodic orbits of vector fields and flows (37C27)

Related Items (3)

Reeb dynamics inspired by Katok's example in Finsler geometry ⋮ Odd-symplectic forms via surgery and minimality in symplectic dynamics ⋮ Controlled Reeb dynamics -- three lectures not in Cala Gonone

Cites Work

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• Trapped Reeb orbits do not imply periodic ones
• \(C^ 2\) counterexamples to the Seifert conjecture
• Three constructions in symplectic topology
• Counterexamples to the Seifert conjecture and opening closed leaves of foliations
• A \(C^2\)-smooth counterexample to the Hamiltonian Seifert conjecture in \(\mathbb R^4\)
• A smooth counterexample to the Seifert conjecture
• New smooth counterexamples to the Hamiltonian Seifert conjecture.
• A volume-preserving counterexample to the Seifert conjecture
• On the minimal sets of non-singular vector fields
• A smooth counterexample to the Hamiltonian Seifert conjecture in R^6
• Closed Integral Curves in 3-Space and Isotopic Two-Dimensional Deformations

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