Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces

Gutiérrez Sagredo, Iván; Iglesias-Ponte, D.; Marrero, J. C.; Padrón, E.

doi:10.1007/s13324-024-01003-z

dc.contributor.author	Gutiérrez Sagredo, Iván
dc.contributor.author	Iglesias-Ponte, D.
dc.contributor.author	Marrero, J. C.
dc.contributor.author	Padrón, E.
dc.date.accessioned	2026-05-06T08:04:54Z
dc.date.available	2026-05-06T08:04:54Z
dc.date.issued	2025-02
dc.identifier.issn	1664-2368
dc.identifier.uri	https://hdl.handle.net/10259/11583
dc.description.abstract	In 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.sponsorship	I. 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.mimetype	application/pdf
dc.language.iso	eng	es
dc.publisher	Springer	es
dc.relation.ispartof	Analysis and Mathematical Physics. 2025, V. 15, n. 1, 8	es
dc.rights	Atribución 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.subject	Unimodularity	en
dc.subject	Multiplicative unimodularity	en
dc.subject	Hamiltonian systems	en
dc.subject	Invariant volume forms	en
dc.subject	Coisotropic	en
dc.subject	Poisson homogeneous spaces	en
dc.subject.other	Geometría diferencial	es
dc.subject.other	Geometry, Differential	en
dc.subject.other	Sistemas de Hamilton	es
dc.subject.other	Hamiltonian systems	en
dc.title	Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces	en
dc.type	info:eu-repo/semantics/article	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.relation.publisherversion	https://doi.org/10.1007/s13324-024-01003-z	es
dc.identifier.doi	10.1007/s13324-024-01003-z
dc.identifier.essn	1664-235X
dc.journal.title	Analysis and Mathematical Physics	en
dc.volume.number	15	es
dc.issue.number	1	es
dc.type.hasVersion	info:eu-repo/semantics/publishedVersion	es
opencost.institution.ror	https://ror.org/051jb1k20
opencost.institution.name	Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE)
opencost.cost.type	hybrid-oa
opencost.costSplitting	1
opencost.amount.paid	2300,08 EUR
opencost.invoice.number	36568439
opencost.invoice.creditor	Springer Nature
opencost.invoice.date	2025-07-29
opencost.invoice.datePaid	2025-11-14
opencost.participation.from	2025-01-01
opencost.participation.to	2027-12-31
opencost.publication.doi	10.1007/s13324-024-01003-z

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