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The geometry of e-manifolds
dc.contributor.author | Miranda Galcerán, Eva |
dc.contributor.author | Scott, Geoffrey |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtiques |
dc.date.accessioned | 2020-11-18T11:52:55Z |
dc.date.available | 2020-11-18T11:52:55Z |
dc.date.issued | 2021 |
dc.identifier.citation | Miranda, E.; Scott, G. The geometry of e-manifolds. "Revista matemática iberoamericana", 2021, vol.37, núm. 3, p.1207-1224 |
dc.identifier.issn | 0213-2230 |
dc.identifier.other | https://arxiv.org/abs/1802.02959 |
dc.identifier.uri | http://hdl.handle.net/2117/332421 |
dc.description.abstract | Motivated by the study of symplectic Lie algebroids, we focus on a type of algebroid (called an E-tangent bundle) which is particularly well suited to the study of singular differential forms and their cohomology. This setting generalizes b-symplectic manifolds, foliat ed manifolds, and a wide class of Poisson manifolds. We generalize Moser’s theorem to this setting, and use it to construct symplec tomorphisms between singular symplectic forms. We give applications of this machinery (including the study of Poisson cohomology), and study specificexamples of a few of them in depth. |
dc.format.extent | 17 p. |
dc.language.iso | eng |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals |
dc.subject.lcsh | Differentiable dynamical systems |
dc.subject.lcsh | Hamiltonian systems |
dc.subject.other | b-symplectic manifolds |
dc.subject.other | Foliations |
dc.subject.other | Lie algebroids |
dc.subject.other | Poisson manifolds |
dc.subject.other | Moser path method |
dc.subject.other | Normal forms |
dc.subject.other | Cohomology |
dc.title | The geometry of e-manifolds |
dc.type | Article |
dc.subject.lemac | Sistemes dinàmics diferenciables |
dc.subject.lemac | Sistemes hamiltonians |
dc.contributor.group | Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions |
dc.identifier.doi | 10.4171/rmi/1232 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | https://www.ems-ph.org/journals/journal.php?jrn=rmi |
dc.rights.access | Open Access |
local.identifier.drac | 26749858 |
dc.description.version | Preprint |
local.citation.author | Miranda, E.; Scott, G. |
local.citation.publicationName | Revista matemática iberoamericana |
local.citation.volume | 37 |
local.citation.number | 3 |
local.citation.startingPage | 1207 |
local.citation.endingPage | 1224 |
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