Higher Symmetries of the Laplacian Page 1 Annals of Mathematics, 161 (2005), 1645-1665
Higher symmetries of the Laplacian By MICHAEL EASTWOOD* Abstract We identify the …

We give a simple construction of the Bernstein-Gelfand-Gelfand sequences of natural
differential operators on a manifold equipped with a parabolic geometry. This method …

We give a geometric derivation of Branson's Q-curvature in terms of the ambient metric
associated with conformal structures; it naturally follows from the ambient metric construction …

Page 1 Progress in Mathematics 275 Andreas Juhl Families of Conformally Covariant
Differential Operators, Q-Curvature and Holography Page 2 BIRKHAUSER Page 3 Progress …

We describe an elementary algorithm for expressing, as explicit formulae in tractor calculus,
the conformally invariant GJMS operators due to CR Graham et alia. These differential …

CR invariant differential operators on densities with leading part a power of the sub-
Laplacian are derived. One family of such operators is constructed from the ''conformally …

We construct polynomial conformal invariants, the vanishing of which is necessary and
sufficient for an n-dimensional suitably generic (pseudo-) Riemannian manifold to be …

In this paper we relate the Fefferman–Graham ambientmetric construction for conformal
manifolds to the approach toconformal geometry via the canonical Cartan connection. We …

A new definition of canonical conformal differential operators P k (k= 1, 2,...), with leading
term ak th power of the Laplacian, is given for conformally Einstein manifolds of any …

The chapter consists of expanded notes for the course of eight one-hour lectures given by
the second author at the 2014 summer school entitled Asymptotic Analysis in General …