<?xml version="1.0" encoding="UTF-8"?><?xml-stylesheet type="text/xsl" href="static/style.xsl"?><OAI-PMH xmlns="http://www.openarchives.org/OAI/2.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/ http://www.openarchives.org/OAI/2.0/OAI-PMH.xsd"><responseDate>2026-05-08T08:15:15Z</responseDate><request verb="GetRecord" identifier="oai:riubu.ubu.es:10259/11583" metadataPrefix="didl">https://riubu.ubu.es/oai/request</request><GetRecord><record><header><identifier>oai:riubu.ubu.es:10259/11583</identifier><datestamp>2026-05-07T10:16:32Z</datestamp><setSpec>com_10259.4_2557</setSpec><setSpec>com_10259_5086</setSpec><setSpec>com_10259_2604</setSpec><setSpec>col_10259.4_2558</setSpec></header><metadata><d:DIDL xmlns:d="urn:mpeg:mpeg21:2002:02-DIDL-NS" xmlns:doc="http://www.lyncode.com/xoai" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="urn:mpeg:mpeg21:2002:02-DIDL-NS http://standards.iso.org/ittf/PubliclyAvailableStandards/MPEG-21_schema_files/did/didl.xsd">
<d:DIDLInfo>
<dcterms:created xmlns:dcterms="http://purl.org/dc/terms/" xsi:schemaLocation="http://purl.org/dc/terms/ http://dublincore.org/schemas/xmls/qdc/dcterms.xsd">2026-05-06T08:04:54Z</dcterms:created>
</d:DIDLInfo>
<d:Item id="hdl_10259_11583">
<d:Descriptor>
<d:Statement mimeType="application/xml; charset=utf-8">
<dii:Identifier xmlns:dii="urn:mpeg:mpeg21:2002:01-DII-NS" xsi:schemaLocation="urn:mpeg:mpeg21:2002:01-DII-NS http://standards.iso.org/ittf/PubliclyAvailableStandards/MPEG-21_schema_files/dii/dii.xsd">urn:hdl:10259/11583</dii:Identifier>
</d:Statement>
</d:Descriptor>
<d:Descriptor>
<d:Statement mimeType="application/xml; charset=utf-8">
<oai_dc:dc xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:dc="http://purl.org/dc/elements/1.1/" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<dc:title>Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces</dc:title>
<dc:creator>Gutiérrez Sagredo, Iván</dc:creator>
<dc:creator>Iglesias-Ponte, D.</dc:creator>
<dc:creator>Marrero, J. C.</dc:creator>
<dc:creator>Padrón, E.</dc:creator>
<dc:subject>Unimodularity</dc:subject>
<dc:subject>Multiplicative unimodularity</dc:subject>
<dc:subject>Hamiltonian systems</dc:subject>
<dc:subject>Invariant volume forms</dc:subject>
<dc:subject>Coisotropic</dc:subject>
<dc:subject>Poisson homogeneous spaces</dc:subject>
<dc:description>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.</dc:description>
<dc:date>2026-05-06T08:04:54Z</dc:date>
<dc:date>2026-05-06T08:04:54Z</dc:date>
<dc:date>2025-02</dc:date>
<dc:type>info:eu-repo/semantics/article</dc:type>
<dc:identifier>1664-2368</dc:identifier>
<dc:identifier>https://hdl.handle.net/10259/11583</dc:identifier>
<dc:identifier>10.1007/s13324-024-01003-z</dc:identifier>
<dc:identifier>1664-235X</dc:identifier>
<dc:language>eng</dc:language>
<dc:relation>Analysis and Mathematical Physics. 2025, V. 15, n. 1, 8</dc:relation>
<dc:relation>https://doi.org/10.1007/s13324-024-01003-z</dc:relation>
<dc:rights>http://creativecommons.org/licenses/by/4.0/</dc:rights>
<dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
<dc:rights>Atribución 4.0 Internacional</dc:rights>
<dc:publisher>Springer</dc:publisher>
</oai_dc:dc>
</d:Statement>
</d:Descriptor>
<d:Component id="10259_11583_1">
<d:Resource ref="https://riubu.ubu.es/bitstream/10259/11583/1/Gutierrez-amp_2025.pdf" mimeType="application/pdf"/>
</d:Component>
</d:Item>
</d:DIDL></metadata></record></GetRecord></OAI-PMH>