A Hofer-like metric on the group of symplectic diffeomorphisms
| dc.creator | Banyaga, Augustin | |
| dc.date | 2007-11-09 | |
| dc.date | 2007-11-12 | |
| dc.date.accessioned | 2026-07-07T08:41:55Z | |
| dc.date.available | 2026-07-07T08:41:55Z | |
| dc.description | Using a "Hodge decomposition" of symplectic isotopies on a compact symplectic manifold $(M,ω)$, we construct a norm on the identity component in the group of all symplectic diffeomorphisms of $(M,ω)$ whose restriction to the group $Ham(M,ω)$ of hamiltonian diffeomorphisms is bounded from above by the Hofer norm. Moreover, $Ham(M,ω)$ is closed in $Symp(M,ω)$ equipped with the topology induced by the extended norm. We give an application to the $C^0$ symplectic topology. We also discuss extensions of Oh's spectral distance. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/0711.1534 | |
| dc.identifier | http://arxiv.org/abs/0711.1534 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141824 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53D05, 53D35 | |
| dc.title | A Hofer-like metric on the group of symplectic diffeomorphisms | |
| dc.type | text |