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Conformal Geometry and Dynamics

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On Branson’s $Q$-curvature of order eight

Author: Andreas Juhl
Journal: Conform. Geom. Dyn. 15 (2011), 20-43
MSC (2010): Primary 53B20, 53B30; Secondary 53A30
Published electronically: March 1, 2011
MathSciNet review: 2775346
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Abstract: We prove universal recursive formulas for Branson’s $Q$-curvature of order eight in terms of lower-order $Q$-curvatures, lower-order GJMS- operators and holographic coefficients. The results confirm a special case of a conjecture in [On conformally covariant powers of the Laplacian, arXiv:0905.3992v3].

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Additional Information

Andreas Juhl
Affiliation: Humboldt-Universität, Institut für Mathematik, Unter den Linden, D-10099 Berlin, Germany
Address at time of publication: Uppsala Universitet, Matematiska Institutionen, Box 480, S-75106 Uppsala, Sweden

Keywords: $Q$-curvature, conformally invariant powers of Laplacian, Poincaré-Einstein metrics, renormalized volume, universality
Received by editor(s): May 2, 2010
Published electronically: March 1, 2011
Additional Notes: This work was supported by SFB 647 “Space-Time-Matter” of DFG
Article copyright: © Copyright 2011 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.