Geodesic
Invariant prolongation of BGG-operators in conformal geometry
Archivum mathematicum, Tome 44 (2008) no. 5, pp. 367-384

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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.
Classification : 35C15, 35N10, 53A30, 58J70
Keywords: conformal geometry; invariant differential operators; overdetermined systems; prolongation; tractor calculus 
@article{ARM_2008__44_5_a3,
     author = {Hammerl, Matthias},
     title = {Invariant prolongation of {BGG-operators} in conformal geometry},
     journal = {Archivum mathematicum},
     pages = {367--384},
     publisher = {mathdoc},
     volume = {44},
     number = {5},
     year = {2008},
     mrnumber = {2501573},
     zbl = {1212.53014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2008__44_5_a3/}
}
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Hammerl, Matthias. Invariant prolongation of BGG-operators in conformal geometry. Archivum mathematicum, Tome 44 (2008) no. 5, pp. 367-384. http://geodesic.mathdoc.fr/item/ARM_2008__44_5_a3/