k-Dirac operator and Cartan-Kahler theorem
Differential Geometry
2019-08-06 v1
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.
Keywords
Cite
@article{arxiv.1304.0956,
title = {k-Dirac operator and Cartan-Kahler theorem},
author = {Tomas Salac},
journal= {arXiv preprint arXiv:1304.0956},
year = {2019}
}