Embeddability for 3-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants
From MaRDI portal
Publication:1928331
DOI10.1215/00127094-1902154zbMath1271.32040arXiv1007.5020OpenAlexW2963935253WikidataQ56001490 ScholiaQ56001490MaRDI QIDQ1928331
Sagun Chanillo, Hung-Lin Chiu, Paul C. Yang
Publication date: 3 January 2013
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1007.5020
Kohn LaplacianCR invariant differential operator3-dimensional CR structureCR Paeneitz operatorglobal embeddability
Embeddings of CR manifolds (32V30) CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20)
Related Items
CR geometry in 3-D ⋮ An upper bound for the first positive eigenvalue of the Kohn Laplacian on Reinhardt real hypersurfaces ⋮ The holomorphic sectional curvature and “convex” real hypersurfaces in Kähler manifolds ⋮ Convexity of the entropy of positive solutions to the heat equation on quaternionic contact and CR manifolds ⋮ The Lichnerowicz-Obata theorem for the Kohn Laplacian in three dimensions ⋮ Nonnegativity of the CR Paneitz operator for embeddable CR manifolds ⋮ Szegő kernel expansion and equivariant embedding of CR manifolds with circle action ⋮ The CR Paneitz operator and the stability of CR pluriharmonic functions ⋮ 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 ⋮ On the Sobolev quotient of three-dimensional CR manifolds ⋮ Extremal metrics for the \(Q'\)-curvature in three dimensions ⋮ Moser-Trudinger and Beckner-Onofri's inequalities on the CR sphere ⋮ An Obata type result for the first eigenvalue of the sub-Laplacian on a CR manifold with a divergence-free torsion ⋮ Pseudo-Hermitian geometry in 3-D ⋮ Uniformization of spherical \( CR\) manifolds ⋮ Extremal metrics for the \(Q^\prime\)-curvature in three dimensions ⋮ Solution of the tangential Kohn Laplacian on a class of non-compact CR manifolds ⋮ Convergence of the CR Yamabe flow ⋮ The sharp upper bounds for the first positive eigenvalue of the Kohn-Laplacian on compact strictly pseudoconvex hypersurfaces ⋮ A positive mass theorem in three dimensional Cauchy-Riemann geometry ⋮ Uniqueness results on CR manifolds ⋮ Semi-isometric CR immersions of CR manifolds into Kähler manifolds and applications ⋮ The Webster scalar curvature and sharp upper and lower bounds for the first positive eigenvalue of the Kohn-Laplacian on real hypersurfaces ⋮ On CR Paneitz operators and CR pluriharmonic functions ⋮ Contact semi-Riemannian structures in CR geometry: some aspects ⋮ Lichnerowicz-Obata theorem for Kohn Laplacian on the real ellipsoid ⋮ The Obata first eigenvalue theorem on a seven-dimensional quaternionic contact manifold ⋮ Solving the Kohn Laplacian on asymptotically flat CR manifolds of dimension 3 ⋮ A new characterization of the CR sphere and the sharp eigenvalue estimate for the Kohn Laplacian
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A positive mass theorem in three dimensional Cauchy-Riemann geometry
- Moduli for pointed convex domains
- Smooth solutions of degenerate Laplacians on strictly pseudoconvex domains
- The range of the tangential Cauchy-Riemann operator
- Holomorphic invariants, normal forms, and the moduli space of convex domains
- A relative index on the space of embeddable CR-structures. I
- A relative index on the space of embedabble CR-structures. II
- Pseudo-hermitian structures on a real hypersurface
- Contact geometry and CR structures on \(S^ 3\)
- Embedding of three dimensional Cauchy-Riemann manifolds
- The sharp lower bound for the first positive eigenvalue of the sublaplacian on a pseudohermitian 3-manifold
- Psuedo-Einstein Structures on CR Manifolds
- Embeddability for Three-Dimensional CR-Manifolds
- On Three-Dimensional Cauchy-Riemann Manifolds
- Pseudo-Einstein and Q-flat metrics with eigenvalue estimates on CR-hypersurfaces