Contact forms with large systolic ratio in arbitrary dimensions

DOI10.2422/2036-2145.201902_001zbMath1486.53100arXiv1806.01967OpenAlexW3128234392MaRDI QIDQ5161613

Murat Sağlam

Publication date: 1 November 2021

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.01967

zbMATH Keywords

plug constructionsystolic ratioperiodic Reeb orbitsco-oriented contact structureHamiltonian disc maps

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Contact manifolds (general theory) (53D10) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)

Related Items (3)

Higher systolic inequalities for 3-dimensional contact manifolds ⋮ Entropy collapse versus entropy rigidity for Reeb and Finsler flows ⋮ On the local systolic optimality of Zoll contact forms

Cites Work

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• Isosystolic inequalities for optical hypersurfaces
• Filling Riemannian manifolds
• Area and the length of the shortest closed geodesic
• Sharp systolic inequalities for Reeb flows on the three-sphere
• Ideal Liouville domains, a cool gadget
• The Seiberg-Witten equations and the Weinstein conjecture
• A local contact systolic inequality in dimension three
• Contact forms with large systolic ratio in dimension three

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