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Conformal Geometry and Dynamics

Published by the American Mathematical Society, the Conformal Geometry and Dynamics (ECGD) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4173

The 2020 MCQ for Conformal Geometry and Dynamics is 0.5.

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On Branson’s $Q$-curvature of order eight
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by Andreas Juhl PDF
Conform. Geom. Dyn. 15 (2011), 20-43 Request permission


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
  • Email:
  • 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
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Conform. Geom. Dyn. 15 (2011), 20-43
  • MSC (2010): Primary 53B20, 53B30; Secondary 53A30
  • DOI:
  • MathSciNet review: 2775346