Summation formulas for GJMS-operators and Q-curvatures on the Möbius sphere

Abstract

For the Möbius spheres $S^{q,p}$, we give alternative elementary proofs of the recursive formulas for GJMS-operators and $Q$-curvatures due to the first author [Geom. Funct. Anal. 23, (2013), 1278-1370; arXiv:1108.0273]. These proofs make essential use of the theory of hypergeometric series.

21 pages; final version; updated presentation in view of more recent work of the first author and of Fefferman and Graham

References in corpus (2)

• Conformally invariant powers of the Laplacian -- A complete non-existence theorem
• On the recursive structure of Branson's Q-curvature

Cited by in corpus (4)

• Explicit formulas for GJMS-operators and $Q$-curvatures
• On conformally covariant powers of the Laplacian
• On the recursive structure of Branson's Q-curvature
• On Branson's $Q$-curvature of order eight