The conformal deformation detour complex for the obstruction tensor
Differential Geometry
2007-05-23 v1 High Energy Physics - Theory
Abstract
On pseudo-Riemannian manifolds of even dimension , 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.
Cite
@article{arxiv.math/0605192,
title = {The conformal deformation detour complex for the obstruction tensor},
author = {Thomas Branson and A. Rod Gover},
journal= {arXiv preprint arXiv:math/0605192},
year = {2007}
}
Comments
5 pages