# On Branson's $Q$-curvature of order eight

@article{Juhl2009OnB, title={On Branson's \$Q\$-curvature of order eight}, author={A. Juhl}, journal={Conformal Geometry and Dynamics of The American Mathematical Society}, year={2009}, volume={15}, pages={20-43} }

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. The results prove a special case of a conjecture in {arXiv:0905.3992}.

#### 4 Citations

On the recursive structure of Branson's Q-curvature

- Mathematics, Physics
- 2010

We prove universal recursive formulas for Branson's $Q$-curvatures in terms of respective lower-order $Q$-curvatures, lower-order GJMS-operators and holographic coefficients.

Explicit Formulas for GJMS-Operators and Q-Curvatures

- Mathematics, Physics
- 2011

We describe GJMS-operators as linear combinations of compositions of natural second-order differential operators. These are defined in terms of Poincaré–Einstein metrics and renormalized volume… Expand

On conformally covariant powers of the Laplacian

- Mathematics, Physics
- 2011

We propose and discuss recursive formulas for conformally covariant powers $P_{2N}$ of the Laplacian (GJMS-operators). For locally conformally flat metrics, these describe the non-constant part of… Expand

Conformally covariant differential operators acting on spinor bundles and related conformal covariants

- Mathematics
- 2013

Conformal powers of the Dirac operator on semi Riemannian spin manifolds are investigated. We give a new proof of the existence of conformal odd powers of the Dirac operator on semi Riemannian spin… Expand

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