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Characteristic distribution: An application to material bodies

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dc.contributor.authorLeón, Manuel de
dc.contributor.authorEpstein, Marcelo
dc.contributor.authorJiménez Morales, Víctor Manuel
dc.date.accessioned2024-05-20T11:47:27Z
dc.date.available2024-05-20T11:47:27Z
dc.date.issued2018
dc.description.abstractAssociated to each material body B there exists a groupoid (B) consisting of all the material isomorphisms connecting the points of B. The uniformity character of B is reflected in the properties of (B): B is uniform if, and only if, (B) is transitive. Smooth uniformity corresponds to a Lie groupoid and, specifically, to a Lie subgroupoid of the groupoid 1 (B,B) of 1- jets of B. We consider a general situation when (B) is only an algebraic subgroupoid. Even in this case, we can cover B by a material foliation whose leaves are transitive. The same happens with (B) and the corresponding leaves generate transitive Lie groupoids (roughly speaking, the leaves covering B). This result opens the possibility to study the homogeneity of general material bodies using geometric instruments.en
dc.description.versionversión publicada
dc.identifier.doihttps://doi.org/10.1016/j.geomphys.2018.01.021
dc.identifier.issn0393-0440
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12557
dc.journal.titleJournal of Geometry and Physics
dc.journal.volume127
dc.language.isoen
dc.publisherElsevier
dc.relation.centerFacultad de Ciencias
dc.relation.departmentMatemáticas Fundamentales
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject.keywordsSmooth distribution
dc.subject.keywordsSingular foliation
dc.subject.keywordsGroupoid
dc.subject.keywordsUniformity
dc.subject.keywordsMaterial groupoid
dc.titleCharacteristic distribution: An application to material bodieses
dc.typejournal articleen
dc.typeartículoes
dspace.entity.typePublication
relation.isAuthorOfPublication983a34b9-02e6-4096-96d9-a488273f8742
relation.isAuthorOfPublication.latestForDiscovery983a34b9-02e6-4096-96d9-a488273f8742
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