Bi-invariant metrics on the group of symplectomorphisms

DOI10.1090/S0002-9947-08-04713-2zbMath1168.53043arXivmath/0510569MaRDI QIDQ3629399

Zhigang Han

Publication date: 27 May 2009

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510569

zbMATH Keywords

Finsler metricHofer metricbi-invariant metricadmissible liftHamiltonian symplectomorphism group

Mathematics Subject Classification ID

Symplectic and contact topology in high or arbitrary dimension (57R17) Global theory of symplectic and contact manifolds (53D35) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items

Pseudo-distances on symplectomorphism groups and applications to flux theory ⋮ On the bounded isometry conjecture ⋮ The bounded isometry conjecture for the Kodaira-Thurston manifold and the 4-torus ⋮ Bounded symplectic diffeomorphisms and split flux groups

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• BIINVARIANT METRICS ON THE GROUP OF HAMILTONIAN DIFFEOMORPHISMS