M. Hammerl, P. Somberg, V. Soucek, J. Silhan
Invariant Prolongation of Overdetermined PDEs in Projective, Conformal and Grassmannian Geometry
Preprint series: ESI preprints

MSC:

58G35 Invariance and symmetry properties, See also {35A30}

53A55 Differential invariants (local theory), geometric objects

58A05 Differentiable manifolds, foundations

58A20 Jets

53A20 Projective differential geometry

53A30 Conformal differential geometry

35B99 None of the above but in this section

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 \cite{hsss} and then
compute the prolongation covariant derivatives
for a number of interesting examples in projective, conformal and
Grassmannian geometries.