Invariant Prolongation of BGG-Operators in Conformal Geometry

Details Invariant Prolongation of BGG-Operators in Conformal Geometry Invariant Prolongation of BGG-Operators in Conformal Geometry

2008-11-25

arxiv.org/abs/0811.4122v1

Mathematics

Differential Geometry

17 pages

Scientific paper

BGG-operators form sequences of invariant differential operators and the first of these is overdetermined. Interesting equations in conformal geometry described by these operators are those for Einstein scales, conformal Killing forms and conformal Killing tensors. We present a deformation procedure of the tractor connection which yields an invariant prolongation of the first operator. The explicit calculation is presented in the case of conformal Killing forms.

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