Summation formulas for GJMS-operators and Q-curvatures on the M\"obius sphere

Abstract

For the M\"obius spheres Sq,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.

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