## Natural operators in the view of Cartan geometries.(English)Zbl 1112.58301

The author deduces that the $$r$$-th order natural operators on the bundle of Cartan connections with values in a gauge natural bundle of the order $$(1,0)$$ factorize through curvature and its invariants derivatives up to order $$r-1$$. He also proves that the invariant derivations of the curvature function of a Cartan connection are of tensor character. A modification of this theorem is given for the reductive and torsion free geometries.

### MSC:

 58A20 Jets in global analysis 53A55 Differential invariants (local theory), geometric objects
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