Non-holonomic connections following Élie Cartan

Detalhes bibliográficos
Autor(a) principal: KOILLER,JAIR
Data de Publicação: 2001
Outros Autores: RODRIGUES,PAULO R., PITANGA,PAULO
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Anais da Academia Brasileira de Ciências (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000200003
Resumo: In this note we revisit E. Cartan's address at the 1928 International Congress of Mathematicians at Bologna, Italy. The distributions considered here will be of the same class as those considered by Cartan, a special type which we call strongly or maximally non-holonomic. We set up the groundwork for using Cartan's method of equivalence (a powerful tool for obtaining invariants associated to geometrical objects), to more general non-holonomic distributions.
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spelling Non-holonomic connections following Élie Cartannon-holonomic mechanicsCartan's equivalence methodaffine connectionsIn this note we revisit E. Cartan's address at the 1928 International Congress of Mathematicians at Bologna, Italy. The distributions considered here will be of the same class as those considered by Cartan, a special type which we call strongly or maximally non-holonomic. We set up the groundwork for using Cartan's method of equivalence (a powerful tool for obtaining invariants associated to geometrical objects), to more general non-holonomic distributions.Academia Brasileira de Ciências2001-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000200003Anais da Academia Brasileira de Ciências v.73 n.2 2001reponame:Anais da Academia Brasileira de Ciências (Online)instname:Academia Brasileira de Ciências (ABC)instacron:ABC10.1590/S0001-37652001000200003info:eu-repo/semantics/openAccessKOILLER,JAIRRODRIGUES,PAULO R.PITANGA,PAULOeng2001-06-08T00:00:00Zoai:scielo:S0001-37652001000200003Revistahttp://www.scielo.br/aabchttps://old.scielo.br/oai/scielo-oai.php||aabc@abc.org.br1678-26900001-3765opendoar:2001-06-08T00:00Anais da Academia Brasileira de Ciências (Online) - Academia Brasileira de Ciências (ABC)false
dc.title.none.fl_str_mv Non-holonomic connections following Élie Cartan
title Non-holonomic connections following Élie Cartan
spellingShingle Non-holonomic connections following Élie Cartan
KOILLER,JAIR
non-holonomic mechanics
Cartan's equivalence method
affine connections
title_short Non-holonomic connections following Élie Cartan
title_full Non-holonomic connections following Élie Cartan
title_fullStr Non-holonomic connections following Élie Cartan
title_full_unstemmed Non-holonomic connections following Élie Cartan
title_sort Non-holonomic connections following Élie Cartan
author KOILLER,JAIR
author_facet KOILLER,JAIR
RODRIGUES,PAULO R.
PITANGA,PAULO
author_role author
author2 RODRIGUES,PAULO R.
PITANGA,PAULO
author2_role author
author
dc.contributor.author.fl_str_mv KOILLER,JAIR
RODRIGUES,PAULO R.
PITANGA,PAULO
dc.subject.por.fl_str_mv non-holonomic mechanics
Cartan's equivalence method
affine connections
topic non-holonomic mechanics
Cartan's equivalence method
affine connections
description In this note we revisit E. Cartan's address at the 1928 International Congress of Mathematicians at Bologna, Italy. The distributions considered here will be of the same class as those considered by Cartan, a special type which we call strongly or maximally non-holonomic. We set up the groundwork for using Cartan's method of equivalence (a powerful tool for obtaining invariants associated to geometrical objects), to more general non-holonomic distributions.
publishDate 2001
dc.date.none.fl_str_mv 2001-06-01
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dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000200003
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dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S0001-37652001000200003
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dc.publisher.none.fl_str_mv Academia Brasileira de Ciências
publisher.none.fl_str_mv Academia Brasileira de Ciências
dc.source.none.fl_str_mv Anais da Academia Brasileira de Ciências v.73 n.2 2001
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