arXiv 0910.48402009-10math.DGmath.CO

Möbius球面上GJMS-算子和Q-曲率的求和公式

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

Andreas Juhl, Christian Krattenthaler

备注：: 21 pages; final version; updated presentation in view of more recent work of the first author and of Fefferman and Graham
发表信息：: J. Approx. Theory 197 (2015), 9-29

摘要：

对于莫比乌斯球$S^{q,p}$，我们给出了GJMS-算子和$Q$ -曲率的递归公式的替代初等证明，由于第一作者[Geom. Funct. Anal. 23，（2013），1278-1370; arXiv：1108.0273]。这些证明充分利用了超几何级数理论。

英文摘要：

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.

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