Invariant Prolongation of BGG-Operators in Conformal Geometry
Differential Geometry
2008-11-26 v1 Analysis of PDEs
Abstract
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.
Keywords
Cite
@article{arxiv.0811.4122,
title = {Invariant Prolongation of BGG-Operators in Conformal Geometry},
author = {Matthias Hammerl},
journal= {arXiv preprint arXiv:0811.4122},
year = {2008}
}
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17 pages