On the construction of a 𝐶²-counterexample to the Hamiltonian Seifert Conjecture in ℝ⁴

DOI10.1090/S1079-6762-02-00100-2zbMath1016.37032arXivmath/0109153OpenAlexW1490200511WikidataQ123238160 ScholiaQ123238160MaRDI QIDQ4708795

Viktor L. Ginzburg, Başak Z. Gürel

Publication date: 19 June 2003

Published in: Electronic Research Announcements of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0109153

zbMATH Keywords

periodic orbitsHamiltonian flowHamiltonian Seifert conjecture

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Symplectic structures of moduli spaces (53D30)

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Relative Hofer-Zehnder capacity and periodic orbits in twisted cotangent bundles

Cites Work

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• Topological conjugacy of circle diffeomorphisms
• A smooth counterexample to the Hamiltonian Seifert conjecture in R^6
• Corrigenda to: Introduction to Symplectic Topology
• Existence of periodic solutions of Hamiltonian systems on almost every energy surface

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