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On the local Nirenberg problem for the $Q$-curvatures

Philippe Delanoë·Frédéric Robert
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Abstract

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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Philippe Delanoë, Frédéric Robert. 2006-01-30. On the local Nirenberg problem for the $Q$-curvatures. https://arxiv.org/abs/math/0601732

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