The autonomous norm on Ham \(({\mathbf R}^{2n})\) is bounded

DOI10.1007/s40316-016-0065-7zbMath1370.53056arXiv1603.02864OpenAlexW2485345712MaRDI QIDQ2398248

Michael Brandenbursky, Jarosław Kȩdra

Publication date: 15 August 2017

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.02864

zbMATH Keywords

Hamiltonian diffeomorphismsautonomous norm

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05)

Related Items

\(\hat{G}\)-invariant quasimorphisms and symplectic geometry of surfaces, Disjoint superheavy subsets and fragmentation norms, A relative Hofer estimate and the asymptotic Hofer-Lipschitz constant

Cites Work

• Unnamed Item
• Unnamed Item
• Relative quasimorphisms and stably unbounded norms on the group of symplectomorphisms of the Euclidean spaces
• On the \(L^p\)-geometry of autonomous Hamiltonian diffeomorphisms of surfaces
• Topological methods in hydrodynamics
• On the autonomous metric on the group of area-preserving diffeomorphisms of the 2-disc
• Conjugation-invariant norms on groups of geometric origin
• Commutators and diffeomorphisms of surfaces