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k-Dirac operator and Cartan-Kahler theorem

Published 3 Apr 2013 in math.DG | (1304.0956v1)

Abstract: We apply the Cartan-Kahler theorem for the k-Dirac operator studied in Clifford analysis and to the parabolic version of this operator. We show that for k = 2 the tableaux of the first prolongations of these two operators are involutive. This gives us a new characterization of the set of initial conditions for the 2-Dirac operator.

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Authors (1)

  1. Tomas Salac 

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