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math.DG2004★ 61 cited
The Ambient Obstruction Tensor and Q-Curvature
C. Robin Graham, Kengo Hirachi
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 conforma…
math.DG2003★ 9 cited
Conformally invariant powers of the Laplacian -- A complete non-existence theorem
A. Rod Gover, Kengo Hirachi
We show that on conformal manifolds of even dimension there is no conformally invariant natural differential operator between density bundles with leading part a power of…