Presentation Name: | 创新研究群体学术报告👩🏼🔧:Compactness of conformal metrics with positive constant Q-curvature |
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Presenter🌞🧘🏻: | Prof.Yanyan Li |
Date🫢: | 2015-08-28 |
Location: | 光华东主楼 1801 |
Abstract💇🏼: | Let $(M,g)$ be an $n/ge 5$ dimensional smooth compact Riemannian manifold of positive Yamabe type, which is not conformally equivalent to the standard sphere. We prove compactness of conformal metrics of $g$ with positive constant Q-curvature provided that $(M,g)$ is locally conformally flat, or $5/le n/le 9$. We also prove the compactness result in dimension $n/ge 8$, provided that the Weyl tensor of $g$ does not vanish anywhere. |
Annual Speech Directory: | No.165 |
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