Author: Ben Ayed Mohamed
Publisher: Springer Publishing Company
ISSN: 0025-2611
Source: manuscripta mathematica, Vol.114, Iss.2, 2004-06, pp. : 211-228
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Abstract
In this paper we study the problem of prescribing a fourth order conformal invariant (the Paneitz curvature) on the n-sphere, with n ≥ 5. Using tools from the theory of critical points at infinity, we provide some topological conditions on the level sets of a given positive function under which we prove the existence of a metric, conformally equivalent to the standard metric, with prescribed Paneitz curvature.
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