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We prove a universal recursive formulas for Branson's $Q$-curvature of order eight in terms of lower-order $Q$-curvatures, lower-order GJMS-operators and holographic coefficients.
C. R. Graham, Extended obstruction tensors and renormalized volume coefficients
1985
Earlier work this paper cites.
C. R. Graham, R. Jenne, L. J. Mason and G. A. J. Sparling. Conformally invariant powers of the Laplacian. I. Existence. J. London Math. Soc. (2)
1992
Earlier work this paper cites.
C. R. Graham. Conformally invariant powers of the Laplacian. II. Nonexistence. J. London Math. Soc. (2)
1992
Earlier work this paper cites.
T. Branson, Sharp inequalities, the functional determinant, and the complementary series. Trans. Amer. Math. Soc
1995
Earlier work this paper cites.
C. R. Graham, Volume and area renormalizations for conformally compact Einstein metrics
2000
Cited alongside, same era.
A. R. Gover and L. Peterson. Conformally invariant powers of the Laplacian, Q Q -curvature, and tractor calculus. Comm. Math. Phys
2003
Cited alongside, same era.
C. R. Graham and M. Zworski, Scattering matrix in conformal geometry
2003
Cited alongside, same era.
A. R. Gover and K. Hirachi. Conformally invariant powers of the Laplacian—a complete nonexistence theorem. J. Amer. Math. Soc
2004
Cited alongside, same era.
C. Falk and A. Juhl, Universal recursive formulae for Q Q -curvature. to appear in Crelle’s Journal
Cited in the paper.
C. Fefferman and C. R. Graham. The ambient metric. arXiv:0710.0919v2
Cited in the paper.
A. Juhl. On conformally covariant powers of the Laplacian. submitted. arXiv:0905.3992v2
Cited in the paper.
Cited in the paper.
C. R. Graham and A. Juhl, Holographic formula for Q Q -curvature
2007
Later among the works it cites.
A. Juhl. Families of Conformally Covariant Differential Operators, Q Q -Curvature and Holography
2009
Closest in time.
H. Baum and A. Juhl, Conformal Differential Geometry: Q Q -curvature and Conformal Holonomy
2010
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