On moment maps and Jacobi manifolds

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dc.contributor.advisorSepe, Daniele
dc.contributor.advisorMartinez Alba, Nicolas
dc.contributor.authorLeguizamón Robayo, Alexander
dc.date.accessioned2021-06-21T22:30:00Z
dc.date.available2021-06-21T22:30:00Z
dc.date.issued2021
dc.description.abstractThe main goal of this work is to introduce the idea of a Hamiltonian action in the context of Jacobi structures on line bundles. This work aims to make these construction without relying on the "Poissonization trick". Our definition allows us to recover the notion of (weakly)Hamiltonian action in the context of Poisson, contact, and locally conformally symplectic geometry.eng
dc.description.abstractEn el siguiente trabajo introducimos la idea de acción Hamiltoniana en el contexto de la geometría de Jacobi en fibrados de línea generales. Esta construcción la realizamos de forma intrínseca sin necesidad de recurrir al ”truco de Poissonización”. El concepto de acción Hamiltoniana en geometría de Jacobi nos permite recuperar resultados conocidos en geometría de Poisson, contacto, y localmente conformemente simplécticaspa
dc.description.degreelevelMaestríaspa
dc.description.degreenameMagíster en Ciencias - Matemáticasspa
dc.description.researchareaGeometría Diferencialspa
dc.format.extent103 páginasspa
dc.format.mimetypeapplication/pdfspa
dc.identifier.instnameUniversidad Nacional de Colombiaspa
dc.identifier.reponameRepositorio Institucional Universidad Nacional de Colombiaspa
dc.identifier.repourlhttps://repositorio.unal.edu.co/spa
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/79669
dc.language.isoengspa
dc.publisherUniversidad Nacional de Colombiaspa
dc.publisher.branchUniversidad Nacional de Colombia - Sede Bogotáspa
dc.publisher.departmentDepartamento de Matemáticasspa
dc.publisher.facultyFacultad de Cienciasspa
dc.publisher.placeBogotá, Colombiaspa
dc.publisher.programBogotá - Ciencias - Maestría en Ciencias - Matemáticasspa
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dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.rights.licenseAtribución-NoComercial 4.0 Internacionalspa
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/spa
dc.subject.ddc510 - Matemáticasspa
dc.subject.lembSistemas Hamiltonianos
dc.subject.lembHamilton-Jacobi equation
dc.subject.proposalJacobi structureseng
dc.subject.proposalContact Manifoldseng
dc.subject.proposalLocally conformally symplectic structureseng
dc.subject.proposalHamiltonian actionseng
dc.subject.proposalMoment Mapseng
dc.subject.proposalEstructuras de Jacobispa
dc.subject.proposalVariedades de contactspa
dc.subject.proposalEstructuras localmente conformemente simplécticasspa
dc.subject.proposalAcción Hamiltonianaspa
dc.subject.proposalAplicación momentospa
dc.titleOn moment maps and Jacobi manifoldseng
dc.title.translatedSobre mapas momento y variedades de Jacobispa
dc.typeTrabajo de grado - Maestríaspa
dc.type.coarhttp://purl.org/coar/resource_type/c_bdccspa
dc.type.coarversionhttp://purl.org/coar/version/c_ab4af688f83e57aaspa
dc.type.contentTextspa
dc.type.driverinfo:eu-repo/semantics/masterThesisspa
dc.type.redcolhttp://purl.org/redcol/resource_type/TMspa
dc.type.versioninfo:eu-repo/semantics/acceptedVersionspa
dcterms.audienceGeneralspa
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2spa

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