A local contact systolic inequality in dimension three

DOI10.4171/JEMS/1022zbMath1465.53085arXiv1902.01249OpenAlexW3100289829MaRDI QIDQ2659446

Jungsoo Kang, Gabriele Benedetti

Publication date: 26 March 2021

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.01249

zbMATH Keywords

generating functionsperiodic orbitssystolic inequalityglobal surfaces of sectionZoll contact formsdiastolic inequality

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Contact manifolds (general theory) (53D10) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (6)

Higher systolic inequalities for 3-dimensional contact manifolds ⋮ Dynamical systems. Abstracts from the workshop held July 11--17, 2021 (hybrid meeting) ⋮ On the local systolic optimality of Zoll contact forms ⋮ Contact forms with large systolic ratio in arbitrary dimensions ⋮ On the relation between action and linking ⋮ Sharp systolic inequalities for rotationally symmetric 2-orbifolds

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