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arXiv · 1103.3141

Invariant prolongation of overdetermined PDE's in projective, conformal and Grassmannian geometry

Matthias Hammerl·Petr Somberg·Vladimír Souček·Josef Šilhan
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Abstract

This is the second in a series of papers on natural modification of the normal tractor connection in a parabolic geometry, which naturally prolongs an underlying overdetermined system of invariant differential equations. We give a short review of the general procedure developed in [5] and then compute the prolongation covariant derivatives for a number of interesting examples in projective, conformal and Grassmannian geometries.

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Matthias Hammerl, Petr Somberg, Vladimír Souček, Josef Šilhan. 2011-03-16. Invariant prolongation of overdetermined PDE's in projective, conformal and Grassmannian geometry. https://arxiv.org/abs/1103.3141

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