The conformal deformation detour complex for the obstruction tensor

Thomas P. Branson, A. Rod Gover
2007 Proceedings of the American Mathematical Society  
On pseudo-Riemannian manifolds of even dimension n ≥ 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.
doi:10.1090/s0002-9939-07-08932-0 fatcat:twrthaenxnc4toallxrhj6zbbe