This page covers notations and definitions, sometimes called the Cartan formalism, for the Cartan connection concept.
Cartan connection applications - Vierbeins et cetera.
The vierbein or tetrad theory is the special case of a four-dimensional manifold. It applies to metrics of any signature. In any dimension, for a pseudo Riemannian geometry (with metric signature (p,q)), this Cartan connection theory is an alternative method in differential geometry. In different contexts it ha ...