k-Dirac operator and Cartan-Kahler theorem

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.

References in corpus (1)

• k-Dirac operator and parabolic geometries

Cited by in corpus (2)

• $k$-Dirac Complexes
• k-Dirac operator and the Cartan-Kahler theorem for weighted differential operators