On the recursive structure of Branson's Q-curvature

Abstract

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.

the new version removes an inaccuracy in the proof of the main theorem, corrects misprint, and updates the references

References in corpus (5)

• Conformally invariant powers of the Laplacian, Q-curvature, and tractor calculus
• On conformally covariant powers of the Laplacian
• Holographic formula for Q-curvature
• Extended obstruction tensors and renormalized volume coefficients
• Summation formulas for GJMS-operators and Q-curvatures on the Möbius sphere

Cited by in corpus (3)

• Explicit formulas for GJMS-operators and $Q$-curvatures
• Summation formulas for GJMS-operators and Q-curvatures on the Möbius sphere
• The Nirenberg problem and its generalizations: A unified approach