A Hofer-like metric on the group of symplectic diffeomorphisms

zbMath1198.53089arXiv0711.1534MaRDI QIDQ3582362

Augustin Banyaga

Publication date: 2 September 2010

Full work available at URL: https://arxiv.org/abs/0711.1534

zbMATH Keywords

Hofer metricharmonic vector fieldspectral normflux conjectureharmonic diffeomorphism\(C^0\)-symplectic topologystrong symplectic homeomorphism

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Global theory of symplectic and contact manifolds (53D35)

Related Items (7)

Pseudo-distances on symplectomorphism groups and applications to flux theory ⋮ On cosymplectic dynamics. I. ⋮ On topological symplectic dynamical systems ⋮ On the group of symplectic homeomorphisms ⋮ On symplectic dynamics ⋮ Hofer-Like Geometry and Flux Theory ⋮ C⁰–Symplectic Geometry Under Displacements

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