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The conformal deformation detour complex for the obstruction tensor

Thomas Branson·A. Rod Gover
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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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Thomas Branson, A. Rod Gover. 2006-05-08. The conformal deformation detour complex for the obstruction tensor. https://arxiv.org/abs/math/0605192

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