Invariant Prolongation of Bgg-operators in Conformal Geometry
نویسنده
چکیده
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.
منابع مشابه
Overdetermined systems, conformal differential geometry, and the BGG complex
This is an expanded version of a series of two lectures given at the IMA summer program “Symmetries and Overdetermined Systems of Partial Differential Equations”. The main part of the article describes the Riemannian version of the prolongation procedure for certain overdetermined system obtained recently in joint work with T.P. Branson, M.G. Eastwood, and A.R. Gover. First a simple special cas...
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