Extension of CR structures on three dimensional pseudoconvex CR manifolds. (English) Zbl 0934.32026
Let \(\overline M\) be a smoothly bounded orientable pseudoconvex \(CR\) manifold of finite type and \(\dim_\mathbb{R} M\) \(=3\). Then we extend the given \(CR\) structure on \(M\) to an integrable almost complex structure on \(S^+_g\) which is the concave side of \(M\) and \(M\subset bS^+_g\).
Reviewer: Sanghyun Cho (Seoul)
MSC:
| 32V25 | Extension of functions and other analytic objects from CR manifolds |
| 32G05 | Deformations of complex structures |
| 32V35 | Finite-type conditions on CR manifolds |
Keywords:
pseudoconvex; \(CR\) manifold of finite type; extension to integrable almost complex structureReferences:
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