Energy capacity inequalities via an action selector
| dc.creator | Frauenfelder, Urs | |
| dc.creator | Ginzburg, Viktor | |
| dc.creator | Schlenk, Felix | |
| dc.date | 2004-02-25 | |
| dc.date | 2004-07-24 | |
| dc.date.accessioned | 2026-07-07T05:05:42Z | |
| dc.date.available | 2026-07-07T05:05:42Z | |
| dc.description | An action selector associates, in a suitable way, to each compactly supported Hamiltonian on a symplectic manifold an action value of the Hamiltonian. Action selectors are known to exist for a broad class of symplectic manifolds. We show how the existence of an action selector leads to sharp energy capacity inequalities between the Gromov width, the Hofer--Zehnder capacity, and the displacement energy. We also obtain sharp lower bounds for the smallest action of a closed characteristic on contact type hypersurfaces. | |
| dc.description | Besides minor changes, an appendix describing the constructions of the known action selectors is added. 27 pages, 1 figure, latex | |
| dc.identifier | https://arxiv.org/abs/math/0402404 | |
| dc.identifier | http://arxiv.org/abs/math/0402404 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70269 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.title | Energy capacity inequalities via an action selector | |
| dc.type | text |