<?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>2026-05-08T08:10:58Z</responseDate><request verb="GetRecord" identifier="oai:riubu.ubu.es:10259/11583" metadataPrefix="mods">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><mods:mods xmlns:mods="http://www.loc.gov/mods/v3" xmlns:doc="http://www.lyncode.com/xoai" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd">
<mods:name>
<mods:namePart>Gutiérrez Sagredo, Iván</mods:namePart>
</mods:name>
<mods:name>
<mods:namePart>Iglesias-Ponte, D.</mods:namePart>
</mods:name>
<mods:name>
<mods:namePart>Marrero, J. C.</mods:namePart>
</mods:name>
<mods:name>
<mods:namePart>Padrón, E.</mods:namePart>
</mods:name>
<mods:extension>
<mods:dateAvailable encoding="iso8601">2026-05-06T08:04:54Z</mods:dateAvailable>
</mods:extension>
<mods:extension>
<mods:dateAccessioned encoding="iso8601">2026-05-06T08:04:54Z</mods:dateAccessioned>
</mods:extension>
<mods:originInfo>
<mods:dateIssued encoding="iso8601">2025-02</mods:dateIssued>
</mods:originInfo>
<mods:identifier type="issn">1664-2368</mods:identifier>
<mods:identifier type="uri">https://hdl.handle.net/10259/11583</mods:identifier>
<mods:identifier type="doi">10.1007/s13324-024-01003-z</mods:identifier>
<mods:identifier type="essn">1664-235X</mods:identifier>
<mods: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.</mods:abstract>
<mods:language>
<mods:languageTerm>eng</mods:languageTerm>
</mods:language>
<mods:accessCondition type="useAndReproduction">http://creativecommons.org/licenses/by/4.0/</mods:accessCondition>
<mods:accessCondition type="useAndReproduction">info:eu-repo/semantics/openAccess</mods:accessCondition>
<mods:accessCondition type="useAndReproduction">Atribución 4.0 Internacional</mods:accessCondition>
<mods:subject>
<mods:topic>Unimodularity</mods:topic>
</mods:subject>
<mods:subject>
<mods:topic>Multiplicative unimodularity</mods:topic>
</mods:subject>
<mods:subject>
<mods:topic>Hamiltonian systems</mods:topic>
</mods:subject>
<mods:subject>
<mods:topic>Invariant volume forms</mods:topic>
</mods:subject>
<mods:subject>
<mods:topic>Coisotropic</mods:topic>
</mods:subject>
<mods:subject>
<mods:topic>Poisson homogeneous spaces</mods:topic>
</mods:subject>
<mods:titleInfo>
<mods:title>Unimodularity and invariant volume forms for Hamiltonian dynamics on coisotropic Poisson homogeneous spaces</mods:title>
</mods:titleInfo>
<mods:genre>info:eu-repo/semantics/article</mods:genre>
</mods:mods></metadata></record></GetRecord></OAI-PMH>