Contact geometry and CR structures on \(S^ 3\)

DOI10.1007/BF02392789zbMath0814.32002MaRDI QIDQ1327354

John S. Bland

Publication date: 12 June 1995

Published in: Acta Mathematica (Search for Journal in Brave)

zbMATH Keywords

contact geometryCR structureRiemann mapping theorem

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Deformations of special (e.g., CR) structures (32G07)

Related Items

Transversal group actions on CR manifolds and embeddability, Morse inequalities for Fourier components of Kohn-Rossi cohomology of CR manifolds with \(S^1\)-action, Some Penrose transforms in complex differential geometry, Unnamed Item, Embeddability for 3-dimensional Cauchy-Riemann manifolds and CR Yamabe invariants, A twistor transform and normal forms for Cauchy Riemann structures, Hypoelliptic operators in geometry. Abstracts from the workshop held May 21--26, 2023, Prediction in several conventional contexts, Pseudo-Hermitian geometry in 3-D, A positive mass theorem in three dimensional Cauchy-Riemann geometry, Stability of embeddings for pseudoconcave surfaces and their boundaries, Some aspects of analysis on almost complex manifolds with boundary, A Burns-Epstein invariant for ACHE 4-manifolds, On Cauchy-Riemann manifolds the Levy forms of which have a positive eigenvalue, Obstruction flat rigidity of the CR 3-sphere, Pluripotential Theory and Monge–Ampère Foliations, Monge-Ampère equations and moduli spaces of manifolds of circular type, HIGHER DIMENSIONAL RIEMANN MAPS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some global properties of contact structures
• Moduli for pointed convex domains
• Parabolic exhaustions for strictly convex domains
• Holomorphic invariants, normal forms, and the moduli space of convex domains
• CR-structures on three dimensional circle bundles
• The Laplacian and the Kohn Laplacian for the sphere
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• Differentiable manifolds in complex Euclidean space
• La métrique de Kobayashi et la représentation des domaines sur la boule
• Embeddability for Three-Dimensional CR-Manifolds
• Calculus on Heisenberg Manifolds. (AM-119)
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• A Local Slice Theorem for 3-Dimensional CR Structures
• The Tangential Cauchy-Riemann Complex on Spheres