Non-Holonomic Connections Following Élie Cartan

Details Non-Holonomic Connections Following Élie Cartan Non-Holonomic Connections Following Élie Cartan

2011-10-06

arxiv.org/abs/1110.1356v1

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

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

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.

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