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Subjects
58-XX Global analysis, analysis on manifolds
58Axx General theory of differentiable manifolds
58A15 Exterior differential systems (Cartan theory)

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$k$ -Dirac operator and the Cartan-Kähler theorem

Tomáš Salač (2013)

Archivum Mathematicum

We apply the Cartan-Kähler 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.

Currently displaying 1 – 1 of 1

Page 1

Displaying 1 – 1 of 1

k -Dirac operator and the Cartan-Kähler theorem

Currently displaying 1 – 1 of 1

$k$ -Dirac operator and the Cartan-Kähler theorem