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

Jiménez, Víctor Manuel, León, Manuel de y Epstein, Marcelo . (2018) Lie groupoids and algebroids applied to the study of uniformity and homogeneity of Cosserat media. International Journal of Geometric Methods in Modern Physics, Vol. 15, No. 08, 1830003 (2018)

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Título Lie groupoids and algebroids applied to the study of uniformity and homogeneity of Cosserat media
Autor(es) Jiménez, Víctor Manuel
León, Manuel de
Epstein, Marcelo
Materia(s) Matemáticas
Abstract A 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.
Palabras clave Hamilton–Jacoby theory
constraint algorithm
singular Lagrangian system
presymplectic geometry
Editor(es) World Scientific
Fecha 2018
Formato application/pdf
Identificador bibliuned:DptoMF-FCIE-Articulos-Vmjimenez-0002
http://e-spacio.uned.es/fez/view/bibliuned:DptoMF-FCIE-Articulos-Vmjimenez-0002
DOI - identifier https://doi.org/10.1142/S0219887818300039
ISSN - identifier ISSN (print): 0219-8878 | ISSN (online): 1793-6977
Nombre de la revista International Journal of Geometric Methods in Modern Physics
Número de Volumen 15
Número de Issue 8
Publicado en la Revista International Journal of Geometric Methods in Modern Physics, Vol. 15, No. 08, 1830003 (2018)
Idioma eng
Versión de la publicación publishedVersion
Tipo de recurso Article
Derechos de acceso y licencia http://creativecommons.org/licenses/by-nc-nd/4.0
info:eu-repo/semantics/openAccess
Tipo de acceso Acceso abierto
Notas adicionales The registered version of this article, first published in International Journal of Geometric Methods in Modern Physics, is available online at the publisher's website: World Scientific , https://doi.org/10.1142/S0219887818300039
Notas adicionales La versión registrada de este artículo, publicado por primera vez en International Journal of Geometric Methods in Modern Physics, está disponible en línea en el sitio web del editor: World Scientific , https://doi.org/10.1142/S0219887818300039

 
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