Élie Cartan ’ s torsion in geometry and in field theory , an essay

  title={{\'E}lie Cartan ’ s torsion in geometry and in field theory , an essay},
  author={Friedrich W. Hehl and Yu. N. Obukhov},
We review the application of torsion in field theory. First we show how the notion of torsion emerges in differential geometry. In the c ontext of a Cartan circuit, torsion is related totranslationssimilar as curvature to rotations. Cartan’s investigations started by analyzing Einsteins gener al r lativity theory and by taking recourse to the theory of Cosserat continua. In the se continua, the points of which carry independent translational and rotati nal degrees of freedom, there occur… CONTINUE READING
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