The conformal deformation detour complex for the obstruction tensor

Details The conformal deformation detour complex for the obstruction tensor The conformal deformation detour complex for the obstruction tensor

2006-05-08

arxiv.org/abs/math/0605192v1

Mathematics

Differential Geometry

5 pages

Scientific paper

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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