The Ambient Obstruction Tensor and Q-Curvature

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.

12 pages

Cited by in corpus (2)

• On the structure of asymptotically de Sitter and anti-de Sitter spaces
• Boundary regularity of conformally compact Einstein metrics