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

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

2011-03-16

arxiv.org/abs/1103.3141v1

Mathematics

Differential Geometry

27 pages

Scientific paper

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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