Non-Holonomic Connections Following \'Elie Cartan

Anais da Academia Brasileira de Ciencias 73 (2) 165 (2001) 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...

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Bibliographic Details
Main Authors Koiller, Jair, Rodrigues, Paulo R, Pitanga, Paulo
Format Journal Article
LanguageEnglish
Published 06.10.2011
Subjects
Physics - General Relativity and Quantum Cosmology
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Summary:Anais da Academia Brasileira de Ciencias 73 (2) 165 (2001) 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 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.
DOI:10.48550/arxiv.1110.1356