dc.creator | Tchuiaga, S. | |
dc.creator | Koivogui, M. | |
dc.creator | Balibuno, F. | |
dc.creator | Mbazumutima, V. | |
dc.date | 2017-06-01 | |
dc.identifier | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1578 | |
dc.identifier | 10.4067/S0719-06462017000200049 | |
dc.description | This paper contributes to the study of topological symplectic dynamical systems, and hence to the extension of smooth symplectic dynamical systems. Using the positivity result of symplectic displacement energy [4], we prove that any generator of a strong symplectic isotopy uniquely determine the latter. This yields a symplectic analogue of a result proved by Oh [12], and the converse of the main theorem found in [6]. Also, tools for defining and for studying the topological symplectic dynamical systems are provided: We construct a right-invariant metric on the group of strong symplectic homeomorphisms whose restriction to the group of all Hamiltonian homeomorphism is equivalent to Oh’s metric [12], define the topological analogues of the usual symplectic displacement energy for non-empty open sets, and we prove that the latter is positive. Several open conjectures are elaborated. | en-US |
dc.format | application/pdf | |
dc.language | eng | |
dc.publisher | Universidad de La Frontera. Temuco, Chile. | en-US |
dc.relation | https://revistas.ufro.cl/ojs/index.php/cubo/article/view/1578/1432 | |
dc.source | CUBO, A Mathematical Journal; Vol. 19 No. 2 (2017): CUBO, A Mathematical Journal; 49–71 | en-US |
dc.source | CUBO, A Mathematical Journal; Vol. 19 Núm. 2 (2017): CUBO, A Mathematical Journal; 49–71 | es-ES |
dc.source | 0719-0646 | |
dc.source | 0716-7776 | |
dc.subject | Isotopies | en-US |
dc.subject | Diffeomorphisms | en-US |
dc.subject | Homeomorphisms | en-US |
dc.subject | Displacement energy | en-US |
dc.subject | Hofer-like norms | en-US |
dc.subject | Mass flow | en-US |
dc.subject | Riemannian metric | en-US |
dc.subject | Lefschetz type manifolds | en-US |
dc.subject | Flux geometry | en-US |
dc.title | On topological symplectic dynamical systems | en-US |
dc.type | info:eu-repo/semantics/article | |
dc.type | info:eu-repo/semantics/publishedVersion | |