A Comparison of Hofer's Metrics on Hamiltonian Diffeomorphisms and Lagrangian Submanifolds
| dc.creator | Ostrover, Yaron | |
| dc.date | 2002-07-08 | |
| dc.date.accessioned | 2026-07-07T04:49:35Z | |
| dc.date.available | 2026-07-07T04:49:35Z | |
| dc.description | We compare Hofer's geometries on two spaces associated with a closed symplectic manifold M. The first space is the group of Hamiltonian diffeomorphisms. The second space L consists of all Lagrangian submanifolds of $M \times M$ which are exact Lagrangian isotopic to the diagonal. We show that in the case of a closed symplectic manifold with $π_2(M) = 0$, the canonical embedding of Ham(M) into L, f $\mapsto$ graph(f) is not an isometric embedding, although it preserves Hofer's length of smooth paths. | |
| dc.description | Latex, 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0207070 | |
| dc.identifier | http://arxiv.org/abs/math/0207070 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64476 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 53d05 | |
| dc.title | A Comparison of Hofer's Metrics on Hamiltonian Diffeomorphisms and Lagrangian Submanifolds | |
| dc.type | text |