Extremal metrics for the \(Q^\prime\)-curvature in three dimensions
From MaRDI portal
Publication:1725581
DOI10.4171/JEMS/845zbMath1444.32034arXiv1511.05013MaRDI QIDQ1725581
Chin-Yu Hsiao, Jeffrey S. Case, Paul C. Yang
Publication date: 14 February 2019
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.05013
pseudodifferential operatorCR manifoldspseudo-Einstein structures\(Q^\prime\)-curvatureBeckner-Onofri inequalityGreen function asymptotics
Pseudodifferential and Fourier integral operators on manifolds (58J40) CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20)
Related Items (2)
Prescribing the \(\overline{Q}^\prime\)-curvature on pseudo-Einstein CR 3-manifolds ⋮ Logarithmic Hardy-Littlewood-Sobolev inequality on pseudo-Einstein 3-manifolds and the logarithmic Robin mass
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A positive mass theorem in three dimensional Cauchy-Riemann geometry
- Adams inequalities on measure spaces
- Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
- CR Yamabe conjecture -- the conformally flat case.
- Compatibility operators for degenerated elliptic equations on the ball and Heisenberg group
- A global invariant for three-dimensional CR-manifolds
- The Yamabe problem on CR manifolds
- Intrinsic CR normal coordinates and the CR Yamabe problem
- Ambient metric construction of \(Q\)-curvature in conformal and CR geometries
- On the singularities of the Szegő projections on lower energy forms
- Extremal metrics of zeta function determinants on 4-manifolds
- Embeddability for 3-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants
- Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere
- Solving the Kohn Laplacian on asymptotically flat CR manifolds of dimension 3
- Pseudodifferential operators of mixed type adapted to distributions of \(k\)-planes
- On CR Paneitz operators and CR pluriharmonic functions
- \(Q\)-prime curvature on CR manifolds
- Projections in several complex variables
- Psuedo-Einstein Structures on CR Manifolds
- Sharp Inequalities, the Functional Determinant, and the Complementary Series
- Conformal invariants and partial differential equations
- A Paneitz-type operator for CR pluriharmonic functions
- The CR Yamabe conjecture. The case \(n=1\)
This page was built for publication: Extremal metrics for the \(Q^\prime\)-curvature in three dimensions