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arxiv: math/0601732 · v1 · submitted 2006-01-30 · 🧮 math.DG · math.AP

On the local Nirenberg problem for the Q-curvatures

classification 🧮 math.DG math.AP
keywords localproveadmitsarbitraryarticleconformalconstraintcurvature
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We prove in this article that the local image of each conformal $Q$-curvature operator of arbitrary order on the sphere admits no scalar constraint. However, we prove that identities of Kazdan--Warner type hold for its graph.

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