Holographic formula for Q-curvature
Differential Geometry
2007-05-23 v1
Abstract
This paper derives an explicit formula for Branson's Q-curvature in even-dimensional conformal geometry. The ingredients in the formula come from the Poincare metric in one higher dimension; hence the formula is called holographic. When specialized to the conformally flat case, the holographic formula expresses Q-curvature as a multiple of the Pfaffian and the divergence of a natural one-form. The paper also outlines the relation between holographic formulae for Q-curvature and a new theory of conformally covariant families of differential operators due to the second author.
Cite
@article{arxiv.0704.1673,
title = {Holographic formula for Q-curvature},
author = {C. Robin Graham and Andreas Juhl},
journal= {arXiv preprint arXiv:0704.1673},
year = {2007}
}
Comments
13 pages