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

Mathematics – Differential Geometry

Scientific paper

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25 pages

Scientific paper

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}.

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