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Extension of CR structures on pseudoconvex CR-manifolds with comparable eigenvalues of the Levi-form

초록/요약 도움말

Let (M) over bar be a smoothly bounded orientable pseudoconvex CR manifold of finite 1-type with comparable eigenvalues of the Levi-form. Then we extend the given CR structure on (M) over bar to an integrable almost complex structure on the concave side of M when dim(R) M >= 3. If dim(R) M >= 7, we extend the structure on the convex side. Therefore we may regard M as a real hypersurface in C-n when dim(R) M >= 7.

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