Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies

A Lie groupoid, called material Lie groupoid, is associated in a natural way to any elastic material. The corresponding Lie algebroid, called material algebroid, is used to characterize the uniformity and the homogeneity properties of the material. The relation to previous results in terms of G−stru...

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Detalles Bibliográficos
Autores: Jiménez Morales, Víctor Manuel, León, Manuel de, Epstein, Marcelo
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2019
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/200159
Acceso en línea:http://hdl.handle.net/10261/200159
Access Level:acceso abierto
Palabra clave:Lie algebroids
Lie groupoids
Material groupoid
Material algebroid
G−structure, derivation
Homogeneity
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spelling Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodiesJiménez Morales, Víctor ManuelLeón, Manuel deEpstein, MarceloLie algebroidsLie groupoidsMaterial groupoidMaterial algebroidG−structure, derivationHomogeneityA Lie groupoid, called material Lie groupoid, is associated in a natural way to any elastic material. The corresponding Lie algebroid, called material algebroid, is used to characterize the uniformity and the homogeneity properties of the material. The relation to previous results in terms of G−structures is discussed in detail. An illustrative example is presented as an application of the theory. © 2019 American Institute of Mathematical Sciences. All rights reserved.This work has been partially supported by MINECO Grants MTM2016-76-072-P and the IC-MAT Severo Ochoa projects SEV-2011-0087 and SEV-2015-0554. V.M. Jiménez wishes to thank MINECO for a FPI-PhD Position.Peer reviewedAmerican Institute of Mathematical SciencesMinisterio de Economía y Competitividad (España)Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202020202019info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Postprintinfo:eu-repo/semantics/acceptedVersionhttp://hdl.handle.net/10261/200159reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-76072-Pinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/SEV-2015-0554http:\\dx.doi.org\10.3934/jgm.2019017Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/2001592026-05-22T06:33:51Z
dc.title.none.fl_str_mv Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies
title Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies
spellingShingle Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies
Jiménez Morales, Víctor Manuel
Lie algebroids
Lie groupoids
Material groupoid
Material algebroid
G−structure, derivation
Homogeneity
title_short Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies
title_full Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies
title_fullStr Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies
title_full_unstemmed Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies
title_sort Lie groupoids and algebroids applied to the study of uniformity and homogeneity of material bodies
dc.creator.none.fl_str_mv Jiménez Morales, Víctor Manuel
León, Manuel de
Epstein, Marcelo
author Jiménez Morales, Víctor Manuel
author_facet Jiménez Morales, Víctor Manuel
León, Manuel de
Epstein, Marcelo
author_role author
author2 León, Manuel de
Epstein, Marcelo
author2_role author
author
dc.contributor.none.fl_str_mv Ministerio de Economía y Competitividad (España)
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv Lie algebroids
Lie groupoids
Material groupoid
Material algebroid
G−structure, derivation
Homogeneity
topic Lie algebroids
Lie groupoids
Material groupoid
Material algebroid
G−structure, derivation
Homogeneity
description A Lie groupoid, called material Lie groupoid, is associated in a natural way to any elastic material. The corresponding Lie algebroid, called material algebroid, is used to characterize the uniformity and the homogeneity properties of the material. The relation to previous results in terms of G−structures is discussed in detail. An illustrative example is presented as an application of the theory. © 2019 American Institute of Mathematical Sciences. All rights reserved.
publishDate 2019
dc.date.none.fl_str_mv 2019
2020
2020
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Postprint
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/200159
url http://hdl.handle.net/10261/200159
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
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info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-76072-P
info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/SEV-2015-0554
http:\\dx.doi.org\10.3934/jgm.2019017
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
collection DIGITAL.CSIC. Repositorio Institucional del CSIC
repository.name.fl_str_mv
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