Non-holonomic connections following Élie Cartan

Non-holonomic connections following Élie Cartan

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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Main Authors: KOILLER,JAIR, RODRIGUES,PAULO R., PITANGA,PAULO
Format: Digital revista
Language:English
Published: Academia Brasileira de Ciências 2001
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000200003
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spelling oai:scielo:S0001-376520010002000032001-06-08Non-holonomic connections following Élie CartanKOILLER,JAIRRODRIGUES,PAULO R.PITANGA,PAULO non-holonomic mechanics Cartan's equivalence method affine connections 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.info:eu-repo/semantics/openAccessAcademia Brasileira de CiênciasAnais da Academia Brasileira de Ciências v.73 n.2 20012001-06-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000200003en10.1590/S0001-37652001000200003
institution SCIELO
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country Brasil
countrycode BR
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access En linea
databasecode rev-scielo-br
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region America del Sur
libraryname SciELO
language English
format Digital
author KOILLER,JAIR
RODRIGUES,PAULO R.
PITANGA,PAULO
spellingShingle KOILLER,JAIR
RODRIGUES,PAULO R.
PITANGA,PAULO
Non-holonomic connections following Élie Cartan
author_facet KOILLER,JAIR
RODRIGUES,PAULO R.
PITANGA,PAULO
author_sort KOILLER,JAIR
title Non-holonomic connections following Élie Cartan
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
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.
publisher Academia Brasileira de Ciências
publishDate 2001
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652001000200003
work_keys_str_mv AT koillerjair nonholonomicconnectionsfollowingeliecartan
AT rodriguespaulor nonholonomicconnectionsfollowingeliecartan
AT pitangapaulo nonholonomicconnectionsfollowingeliecartan
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