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arXiv · 2401.03457

Obstructions to prescribed Q-curvature of complete conformal metrics on $\mathbb{R}^n$

Mingxiang Li
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Abstract

We provide some obstructions to the prescribed Q-curvature problem for the complete conformal metrics on $\mathbb{R}^n$ with finite total Q-curvature. One of them is a Bonnet-Mayer type theorem with respect to Q-curvature. Others are related to the decay rate of the prescribed functions.

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Mingxiang Li. 2024-01-07. Obstructions to prescribed Q-curvature of complete conformal metrics on $\mathbb{R}^n$. https://arxiv.org/abs/2401.03457

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