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The ambient obstruction tensor and the conformal deformation complex. (English) Zbl 1125.53010
The authors introduce a new conformally invariant operator on algebraic Weyl tensors. This provides special curved analogues of certain operators related to the deformation complex and yields the Fefferman-Graham ambient obstruction tensor.
This new construction leads the authors to achieve several interesting results in different geometric frameworks.

MSC:
53A55 Differential invariants (local theory), geometric objects
22E70 Applications of Lie groups to the sciences; explicit representations
53A30 Conformal differential geometry (MSC2010)
58J10 Differential complexes
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