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Lie groupoids and algebroids applied to the study of uniformity and homogeneity of Cosserat media

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dc.contributor.authorLeón, Manuel de
dc.contributor.authorEpstein, Marcelo
dc.contributor.authorJiménez Morales, Víctor Manuel
dc.date.accessioned2024-05-20T11:47:10Z
dc.date.available2024-05-20T11:47:10Z
dc.date.issued2018
dc.description.abstractA Lie groupoid, called second-order non-holonomic material Lie groupoid, is associated in a natural way to any Cosserat medium. This groupoid is used to give a new definition of homogeneity which does not depend on a material archetype. The corresponding Lie algebroid, called second-order non-holonomic material Lie algebroid, is used to characterize the homogeneity property of the material. We also relate these results with the previously obtained ones in terms of non-holonomic second-order G¯¯¯¯ -structures.en
dc.description.versionversión publicada
dc.identifier.doihttps://doi.org/10.1142/S0219887818300039
dc.identifier.issnISSN (print): 0219-8878 | ISSN (online): 1793-6977
dc.identifier.urihttps://hdl.handle.net/20.500.14468/12551
dc.journal.issue8
dc.journal.titleInternational Journal of Geometric Methods in Modern Physics
dc.journal.volume15
dc.language.isoen
dc.publisherWorld Scientific
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.keywordsHamilton–Jacoby theory
dc.subject.keywordsconstraint algorithm
dc.subject.keywordssingular Lagrangian system
dc.subject.keywordspresymplectic geometry
dc.titleLie groupoids and algebroids applied to the study of uniformity and homogeneity of Cosserat mediaes
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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