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|Abstract:||We construct contact forms with constant Q’-curvature on compact three-dimensional CR manifolds which admit a pseudo-Einstein contact form and satisfy some natural positivity conditions. These contact forms are obtained by minimizing the CR analogue of the II-functional from conformal geometry. Two crucial steps are to show that the P’-operator can be regarded as an elliptic pseudodifferential operator and to compute the leading order terms of the asymptotic expansion of the Green function for root P’.|
|Electronic Publication Date:||9-Nov-2018|
|Citation:||Case, Jeffrey S, Hsiao, Chin-Yu, Yang, Paul. (2019). Extremal metrics for the Q ‘-curvature in three dimensions. JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, 21 (585 - 626. doi:10.4171/JEMS/845|
|Pages:||585 - 626|
|Type of Material:||Journal Article|
|Journal/Proceeding Title:||JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY|
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