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dc.contributor.authorGutiérrez Sagredo, Iván 
dc.contributor.authorIglesias-Ponte, D.
dc.contributor.authorMarrero, J. C.
dc.contributor.authorPadrón, E.
dc.date.accessioned2026-05-06T08:04:54Z
dc.date.available2026-05-06T08:04:54Z
dc.date.issued2025-02
dc.identifier.issn1664-2368
dc.identifier.urihttps://hdl.handle.net/10259/11583
dc.description.abstractIn this paper, we introduce a notion of multiplicative unimodularity for a coisotropic Poisson homogeneous space. Then, we discuss the unimodularity and the multiplicative unimodularity for these spaces and the existence of an invariant volume form for explicit Hamiltonian systems on such spaces. Several interesting examples illustrating the theoretical results are also presented.en
dc.description.sponsorshipI. Gutierrez-Sagredo has been partially supported by Agencia Estatal de Investigación (Spain) under grant PID2023-148373NB-I 00 funded by MCIN /AEI /10.13039/501100011033/FEDER and by the Q-CAYLE Project funded by the Regional Government of Castilla y León (Junta de Castilla y León). D. Iglesias, J.C. Marrero and E. Padrón acknowledge financial support from the Spanish Ministry of Science and Innovation under grant PID2022-137909NB-C22. All the authors has been partially supported by Agencia Estatal de Investigación (Spain) under grant RED2022-134301-TD. I. Gutierrez-Sagredo thanks Universidad de La Laguna where part of the work has been done for the hospitality and support. Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature.en
dc.format.mimetypeapplication/pdf
dc.language.isoenges
dc.publisherSpringeres
dc.relation.ispartofAnalysis and Mathematical Physics. 2025, V. 15, n. 1, 8es
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectUnimodularityen
dc.subjectMultiplicative unimodularityen
dc.subjectHamiltonian systemsen
dc.subjectInvariant volume formsen
dc.subjectCoisotropicen
dc.subjectPoisson homogeneous spacesen
dc.subject.otherGeometría diferenciales
dc.subject.otherGeometry, Differentialen
dc.subject.otherSistemas de Hamiltones
dc.subject.otherHamiltonian systemsen
dc.titleUnimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spacesen
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.relation.publisherversionhttps://doi.org/10.1007/s13324-024-01003-zes
dc.identifier.doi10.1007/s13324-024-01003-z
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica, Técnica y de Innovación 2021-2023/PID2023-148373NB-I00/ES/GRUPOS DE LIE Y GRUPOS CUANTICOS: APLICACIONES EN SISTEMAS HAMILTONIANOS INTEGRABLES, INFORMACION CUANTICA Y TEORIA DE CAMPOS/es
dc.relation.projectIDinfo:eu-repo/grantAgreement/Junta de Castilla y León//MR0KP1//Q-CAYLE-UBU. Sistemas de referencia cuánticos, grupos cuánticos, información cuántica, entrelazamiento y decoherencia: aplicaciones en comunicaciones cuánticases
dc.identifier.essn1664-235X
dc.journal.titleAnalysis and Mathematical Physicsen
dc.volume.number15es
dc.issue.number1es
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersiones
dc.description.projectOpen access funding provided by FEDER European Funds and the Junta De Castilla y León under the Research and Innovation Strategy for Smart Specialization (RIS3) of Castilla y León 2021-2027.en
opencost.institution.rorhttps://ror.org/051jb1k20
opencost.institution.nameConsorcio de Bibliotecas Universitarias de Castilla y León (BUCLE)
opencost.cost.typehybrid-oa
opencost.costSplitting1
opencost.amount.paid2300,08 EUR
opencost.invoice.number36568439
opencost.invoice.creditorSpringer Nature
opencost.invoice.date2025-07-29
opencost.invoice.datePaid2025-11-14
opencost.participation.from2025-01-01
opencost.participation.to2027-12-31
opencost.publication.doi10.1007/s13324-024-01003-z


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