On a problem of Moser

DOI10.1215/S0012-7094-95-07809-0zbMath0846.32010MaRDI QIDQ1896015

Xiaojun Huang, Steven G. Krantz

Publication date: 17 September 1995

Published in: Duke Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

Levi-flatholomorphic hullreal-analytic surfaceSteinian

Mathematics Subject Classification ID

Stein spaces (32E10) Domains of holomorphy (32D05) Envelopes of holomorphy (32D10)

Related Items (23)

On the Levi-flat plateau problem ⋮ Flattening of CR singular points and analyticity of the local hull of holomorphy. I ⋮ Geometric and analytic problems for a real submanifold in \(\mathbb{C}^n\) with CR singularities ⋮ A CR singular analogue of Severi's theorem ⋮ Codimension two CR singular submanifolds and extensions of CR functions ⋮ CR singularities of real fourfolds in \(\mathbb C^{3}\) ⋮ A normal form for a real 2-codimensional submanifold in \(\mathbb C^{N+1}\) near a CR singularity ⋮ On Lewy extension for smooth hypersurfaces in ℂⁿ×ℝ ⋮ Segre nondegenerate totally real subvarieties ⋮ Stability of the hull(s) of an \(n\)-sphere in \(\mathbb{C}^n\) ⋮ Unfolding CR Singularities ⋮ Flattening of CR singular points and analyticity of the local hull of holomorphy. II. ⋮ Flattening a non-degenerate CR singular point of real codimension two ⋮ CR singular images of generic submanifolds under holomorphic maps ⋮ Normal forms and degenerate CR singularities ⋮ On an 𝑛-manifold in 𝐂ⁿ near an elliptic complex tangent ⋮ Equivalence problem for Bishop surfaces ⋮ Levi-flat hypersurfaces with real analytic boundary ⋮ Local geometric properties of real submanifolds in complex space ⋮ Real submanifolds of maximum complex tangent space at a CR singular point. I ⋮ A Bishop surface with a vanishing Bishop invariant ⋮ On CR singular CR images ⋮ Study of the analytic regularity of formal CR reflection mappings

Cites Work

• Normal forms for real surfaces in \(C^ 2\) near tangents and hyperbolic surface transformations
• Pseudo holomorphic curves in symplectic manifolds
• The local hull of holomorphy of a surface in the space of two complex variables
• Differentiable manifolds in complex Euclidean space
• Analytic surfaces in C^2 and their local hull of holomorphy
• La métrique de Kobayashi et la représentation des domaines sur la boule
• On the Envelope of Holomorphy of a 2-Sphere in ℂ 2
• Uniform Approximation on Compact Sets in $\mathsf{C}^n$.
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On a problem of Moser