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dc.creatorTchuiaga, S.
dc.creatorKoivogui, M.
dc.creatorBalibuno, F.
dc.creatorMbazumutima, V.
dc.date2017-06-01
dc.identifierhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1578
dc.identifier10.4067/S0719-06462017000200049
dc.descriptionThis 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.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad de La Frontera. Temuco, Chile.en-US
dc.relationhttps://revistas.ufro.cl/ojs/index.php/cubo/article/view/1578/1432
dc.sourceCUBO, A Mathematical Journal; Vol. 19 No. 2 (2017): CUBO, A Mathematical Journal; 49–71en-US
dc.sourceCUBO, A Mathematical Journal; Vol. 19 Núm. 2 (2017): CUBO, A Mathematical Journal; 49–71es-ES
dc.source0719-0646
dc.source0716-7776
dc.subjectIsotopiesen-US
dc.subjectDiffeomorphismsen-US
dc.subjectHomeomorphismsen-US
dc.subjectDisplacement energyen-US
dc.subjectHofer-like normsen-US
dc.subjectMass flowen-US
dc.subjectRiemannian metricen-US
dc.subjectLefschetz type manifoldsen-US
dc.subjectFlux geometryen-US
dc.titleOn topological symplectic dynamical systemsen-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion


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