The conformal deformation detour complex for the obstruction tensor

Branson, Thomas; Gover, A.

doi:10.1090/S0002-9939-07-08932-0

The conformal deformation detour complex for the obstruction tensor
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by Thomas P. Branson and A. Rod Gover PDF

Proc. Amer. Math. Soc. 135 (2007), 2961-2965 Request permission

Abstract:

On pseudo-Riemannian manifolds of even dimension $n\geq 4$, with everywhere vanishing (Fefferman-Graham) obstruction tensor, we construct a complex of conformally invariant differential operators. The complex controls the infinitesimal deformations of obstruction-flat structures, and, in the case of Riemannian signature the complex is elliptic.

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