English

The Ambient Obstruction Tensor and Q-Curvature

Differential Geometry 2007-05-23 v1

Abstract

It is shown that the variational derivative of the integral of Branson's Q-curvature is the ambient obstruction tensor of Fefferman-Graham. A classification of irreducible conformally invariant tensors modulo quadratic and higher degree terms in curvature is established.

Cite

@article{arxiv.math/0405068,
  title  = {The Ambient Obstruction Tensor and Q-Curvature},
  author = {C. Robin Graham and Kengo Hirachi},
  journal= {arXiv preprint arXiv:math/0405068},
  year   = {2007}
}

Comments

12 pages

R2 v1 2026-07-22T17:05:05.486Z