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Bibliographic Details
Main Author: Jair Koiller
Format: Artículo científico
Language:en
Published: Academia Brasileira de Ciências 2001
Subjects:
Online Access:https://www.redalyc.org/articulo.oa?id=32773203
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author Jair Koiller
author_facet Jair Koiller
contents Non-holonomic connections following Élie Cartan Jair Koiller Paulo R. Rodrigues Paulo Pitanga Multidisciplinaria (Ciencias Naturales y Exactas) non affine connections holonomic mechanics Cartan’s equivalence method In this note we revisit E. Cartan’s address at the 1928 International Congress of Mathematiciansat Bologna, Italy. The distributions considered here will be of the same class as those consideredby Cartan, a special type which we call strongly or maximally non-holonomic. We set up thegroundwork for using Cartan’s method of equivalence (a powerful tool for obtaining invariantsassociated to geometrical objects), to more general non-holonomic distributions. 2001 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32773203 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.2 Vol.73
format Artículo científico
id redalyc_32773203
language en
publishDate 2001
publisher Academia Brasileira de Ciências
spellingShingle Non-holonomic connections following Élie Cartan
Jair Koiller
Multidisciplinaria (Ciencias Naturales y Exactas)
non
affine connections
holonomic mechanics
Cartan’s equivalence method
Non-holonomic connections following Élie Cartan Jair Koiller Paulo R. Rodrigues Paulo Pitanga Multidisciplinaria (Ciencias Naturales y Exactas) non affine connections holonomic mechanics Cartan’s equivalence method In this note we revisit E. Cartan’s address at the 1928 International Congress of Mathematiciansat Bologna, Italy. The distributions considered here will be of the same class as those consideredby Cartan, a special type which we call strongly or maximally non-holonomic. We set up thegroundwork for using Cartan’s method of equivalence (a powerful tool for obtaining invariantsassociated to geometrical objects), to more general non-holonomic distributions. 2001 artículo científico 0001-3765 https://www.redalyc.org/articulo.oa?id=32773203 en http://www.redalyc.org/revista.oa?id=327 Anais da Academia Brasileira de Ciências application/pdf Academia Brasileira de Ciências Anais da Academia Brasileira de Ciências (Brasil) Num.2 Vol.73
title Non-holonomic connections following Élie Cartan
topic Multidisciplinaria (Ciencias Naturales y Exactas)
non
affine connections
holonomic mechanics
Cartan’s equivalence method
url https://www.redalyc.org/articulo.oa?id=32773203