Characteristic distribution: An application to material bodies

Jiménez, Víctor Manuel, León, Manuel de y Epstein, Marcelo . (2018) Characteristic distribution: An application to material bodies. Journal of Geometry and Physics Volume 127, April 2018, Pages 19-31

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Título Characteristic distribution: An application to material bodies
Autor(es) Jiménez, Víctor Manuel
León, Manuel de
Epstein, Marcelo
Materia(s) Matemáticas
Abstract Associated 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.
Palabras clave Smooth distribution
Singular foliation
Groupoid
Uniformity
Material groupoid
Editor(es) Elsevier
Fecha 2018
Formato application/pdf
Identificador bibliuned:DptoMF-FCIE-Articulos-Vmjimenez-0003
http://e-spacio.uned.es/fez/view/bibliuned:DptoMF-FCIE-Articulos-Vmjimenez-0003
DOI - identifier https://doi.org/10.1016/j.geomphys.2018.01.021
ISSN - identifier 0393-0440
Nombre de la revista Journal of Geometry and Physics
Número de Volumen 127
Página inicial 19
Página final 31
Publicado en la Revista Journal of Geometry and Physics Volume 127, April 2018, Pages 19-31
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 Journal of Geometry and Physics, is available online at the publisher's website: Eselvier, https://doi.org/10.1016/j.geomphys.2018.01.021
Notas adicionales La versión registrada de este artículo, publicado por primera vez en Journal of Geometry and Physics, está disponible en línea en el sitio web del editor: Eselvier, https://doi.org/10.1016/j.geomphys.2018.01.021

 
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