Natural Prolongations of BGG-Operators
نویسنده
چکیده
Given a parabolic geometry and a tractor bundle, the BGG-machinery as developed by Čap-Slovak-Souček and simplified by Calderbank-Diemer gives rise to a sequence of natural differential operators, the first of which is overdetermined and yields interesting geometric equations. This thesis presents a natural method to construct a modified connection on the tractor bundle such that its parallel sections are in 1:1 correspondence with the solution space of the associated BGG-operator. We study several examples in projective and conformal geometry and finally employ methods of the BGG-machinery to a generalized Fefferman construction.
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