English

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

Differential Geometry 2015-06-02 v2 Combinatorics

Abstract

For the M\"obius spheres Sq,pS^{q,p}, we give alternative elementary proofs of the recursive formulas for GJMS-operators and QQ-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.

Keywords

Cite

@article{arxiv.0910.4840,
  title  = {Summation formulas for GJMS-operators and Q-curvatures on the M\"obius sphere},
  author = {Andreas Juhl and Christian Krattenthaler},
  journal= {arXiv preprint arXiv:0910.4840},
  year   = {2015}
}

Comments

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