The conformal deformation detour complex for the obstruction tensor

2006/05/08 by Thomas Branson, Branson, Thomas, A. Rod Gover +1 · 1 citation
Mathematics · Physics and Astronomy · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Black Holes and Theoretical Physics

paper · pdf · doi:10.48550/arxiv.math/0605192

Abstract

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.

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