Cartan's Projective Frenet Frames

Cartan's method of the Repere Mobile can be used to construct most of the theorems of Fiber bundle theory and connections. The Cartan equations of structure can be determined in a constructive manner. In particular, the technique leads to an algebraic method of computing matrix of curvature 2-forms and the vectors of torsion 2-forms.

More over the method demonstrates that there are two types of torsion 2-forms - a torsion 2-form of translations (affine) and a torsion 2-form of rotations. The latter equation of structure is often ignored, but can be used to develop a theory of disclinations.


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Last update 01/23/2009
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