Abstract
We construct contact forms with constant Q0-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 P0-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 P0
Original language | English (US) |
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Pages (from-to) | 585-626 |
Number of pages | 42 |
Journal | Journal of the European Mathematical Society |
Volume | 21 |
Issue number | 2 |
DOIs | |
State | Published - Jan 1 2019 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)
- Applied Mathematics
Keywords
- Beckner–Onofri inequality
- CR manifolds
- Green function asymptotics
- Pseudo-Einstein structures
- Pseudodifferential operator
- Q-prime curvature