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- W416984750 abstract "Let $(M, g)$ be a closed Riemannian manifold of dimension $5$. Assume that $(M, g)$ is not conformally equivalent to the round sphere. If the scalar curvature $R_ggeq 0$ and the $Q$-curvature $Q_ggeq 0$ on $M$ with $Q_g(p)>0$ for some point $pin M$, we prove that the set of metrics in the conformal class of $g$ with prescribed constant positive $Q$-curvature is compact in $C^{4, alpha}$ for any $0 <alpha < 1$. We also give some estimates for dimension $6$ and $7$." @default.
- W416984750 created "2016-06-24" @default.
- W416984750 creator A5014550035 @default.
- W416984750 date "2019-11-05" @default.
- W416984750 modified "2023-09-25" @default.
- W416984750 title "A compactness theorem on Branson’s Q-curvature equation" @default.
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- W416984750 doi "https://doi.org/10.2140/pjm.2019.302.119" @default.
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