{ "id": "0912.2217", "version": "v1", "published": "2009-12-11T12:47:28.000Z", "updated": "2009-12-11T12:47:28.000Z", "title": "On Branson's $Q$-curvature of order eight", "authors": [ "Andreas Juhl" ], "comment": "25 pages", "categories": [ "math.DG", "math-ph", "math.MP" ], "abstract": "We prove a 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 prove a special case of a conjecture in {arXiv:0905.3992}.", "revisions": [ { "version": "v1", "updated": "2009-12-11T12:47:28.000Z" } ], "analyses": { "subjects": [ "53B20", "53A30" ], "keywords": [ "special case", "universal recursive formulas", "holographic coefficients", "lower-order gjms-operators" ], "note": { "typesetting": "TeX", "pages": 25, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0912.2217J" } } }