On the bounded isometry conjecture

DOI10.1016/J.CRMA.2011.08.016zbMath1226.53084OpenAlexW1968956746WikidataQ122931387 ScholiaQ122931387MaRDI QIDQ643628

Andrés Pedroza

Publication date: 2 November 2011

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2011.08.016

zbMATH Keywords

Hofer metricHamiltonian diffeomorphismsbounded symplectic diffeomorphism

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Global theory of symplectic and contact manifolds (53D35)

Cites Work

• The bounded isometry conjecture for the Kodaira-Thurston manifold and the 4-torus
• Symplectic diffeomorphisms as isometries of Hofer's norm
• Bounded symplectic diffeomorphisms and split flux groups
• Bi-invariant metrics on the group of symplectomorphisms
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