Non-Holonomic Connections Following \'Elie Cartan
General Relativity and Quantum Cosmology
2011-10-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1110.1356,
title = {Non-Holonomic Connections Following \'Elie Cartan},
author = {Jair Koiller and Paulo R. Rodrigues and Paulo Pitanga},
journal= {arXiv preprint arXiv:1110.1356},
year = {2011}
}