On Three-Dimensional Cauchy-Riemann Manifolds
From MaRDI portal
Publication:4024446
DOI10.2307/2152715zbMath0781.32014OpenAlexW4237022623MaRDI QIDQ4024446
Publication date: 20 April 1993
Full work available at URL: https://doi.org/10.2307/2152715
CR structures, CR operators, and generalizations (32V05) Pseudoconvex domains (32T99) CR manifolds (32V99)
Related Items
CR geometry in 3-D ⋮ Transversal group actions on CR manifolds and embeddability ⋮ Embedding of three dimensional Cauchy-Riemann manifolds ⋮ Equivariant embeddings of strongly pseudoconvex Cauchy-Riemann manifolds ⋮ Unnamed Item ⋮ Quasiconformal homeomorphisms on CR 3-manifolds with symmetries ⋮ Algebraic approximations in analytic geometry ⋮ Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR manifolds with \(S^1\)-action ⋮ On the stability of equivariant embedding of compact CR manifolds with circle action ⋮ Umbilical points on three dimensional strictly pseudoconvex CR manifolds. I: Manifolds with \(\mathrm{U}(1)\)-action ⋮ Szegő kernel expansion and equivariant embedding of CR manifolds with circle action ⋮ Embeddability for 3-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants ⋮ A twistor transform and normal forms for Cauchy Riemann structures ⋮ Geometric quantization on CR manifolds ⋮ 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 ⋮ Addendum to: ``Subelliptic Spin\(_{\mathbb{C}}\) Dirac operators. III. ⋮ A note on the instability of embeddings of Cauchy-Riemann manifolds ⋮ The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds ⋮ Torus equivariant Szegő kernel asymptotics on strongly pseudoconvex CR manifolds ⋮ Stein fillability and the realization of contact manifolds ⋮ Stability of embeddings for pseudoconcave surfaces and their boundaries ⋮ A Burns-Epstein invariant for ACHE 4-manifolds ⋮ On Cauchy-Riemann manifolds the Levy forms of which have a positive eigenvalue ⋮ The sharp lower bound for the first positive eigenvalue of the sublaplacian on a pseudohermitian 3-manifold ⋮ EXISTENCE AND COMPACTNESS THEORY FOR ALE SCALAR-FLAT KÄHLER SURFACES ⋮ On a holomorphic family of Stein manifolds with strongly pseudoconvex boundaries ⋮ Bergman-Szegő kernel asymptotics in weakly pseudoconvex finite type cases ⋮ Degenerating Kähler-Einstein cones, locally symmetric cusps, and the Tian-Yau metric
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Solving the degenerate complex Monge-Ampère equation with one concentrated singularity
- Moduli for pointed convex domains
- Quasiconformal mappings on the Heisenberg group
- Parabolic exhaustions for strictly convex domains
- CR structures with group action and extendability of CR functions
- Symmetries and other transformations of the complex Monge-Ampère equation
- A precise result on the boundary regularity of biholomorphic mappings
- The range of the tangential Cauchy-Riemann operator
- Non-realizable CR structures
- The Dirichlet problem for a complex Monge-Ampère equation
- On boundaries of complex analytic varieties. II
- A direct extension method for CR structures
- Harmonic integrals on strongly pseudo-convex manifolds. I
- Über Modifikationen und exzeptionelle analytische Mengen
- Seifert manifolds
- The Hölder continuity of the Bergman projection and proper holomorphic mappings
- A Remark on the Global Embedding Problem for Three-Dimensional CR Manifolds
- La métrique de Kobayashi et la représentation des domaines sur la boule
- Embeddability for Three-Dimensional CR-Manifolds
- Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
- On the Volume Elements on a Manifold