On the extremality of Hofer's metric on the group of Hamiltonian diffeomorphisms
| dc.creator | Ostrover, Yaron | |
| dc.creator | Wagner, Roy | |
| dc.date | 2005-01-10 | |
| dc.date.accessioned | 2026-07-07T05:15:57Z | |
| dc.date.available | 2026-07-07T05:15:57Z | |
| dc.description | Let M be a closed symplectic manifold, and let | | be a norm on the space of all smooth functions on M, which are zero-mean normalized with respect to the canonical volume form. We show that if | | is dominated from above by the L-Infinity-norm, and | | is invariant under the action of Hamiltonian diffeomorphisms, then it is also invariant under all volume preserving diffeomorphisms. We also prove that if | | is, additionally, not equivalent to the L-Infinity-norm, then the induced Finsler metric on the group of Hamiltonian diffeomorphisms on M vanishes identically. | |
| dc.description | Latex, 17 pages | |
| dc.identifier | https://arxiv.org/abs/math/0501143 | |
| dc.identifier | http://arxiv.org/abs/math/0501143 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73809 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Functional Analysis | |
| dc.subject | 53D05; 46B99 | |
| dc.title | On the extremality of Hofer's metric on the group of Hamiltonian diffeomorphisms | |
| dc.type | text |