On boundaries of Levi-flat hypersurfaces in \(\mathbb C^n\)

DOI10.1016/j.crma.2005.07.012zbMath1085.32019OpenAlexW1998549893WikidataQ58623197 ScholiaQ58623197MaRDI QIDQ2568344

Pierre Dolbeault, Dimitri Zaitsev, Giuseppe Tomassini

Publication date: 10 October 2005

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2005.07.012

zbMATH Keywords

Levi flat \(CR\) manifold

Mathematics Subject Classification ID

Extension of functions and other analytic objects from CR manifolds (32V25)

Related Items (11)

On the Levi-flat plateau problem ⋮ Modeling complex points up to isotopy ⋮ A CR singular analogue of Severi's theorem ⋮ Codimension two CR singular submanifolds and extensions of CR functions ⋮ CR singularities of real fourfolds in \(\mathbb C^{3}\) ⋮ On normal forms of complex points of codimension 2 submanifolds ⋮ On Lewy extension for smooth hypersurfaces in ℂⁿ×ℝ ⋮ On Levi-flat hypersurfaces with given boundary in \(\mathbb C^n\) ⋮ Levi-flat hypersurfaces with real analytic boundary ⋮ On CR singular CR images ⋮ On complex points of codimension 2 submanifolds

Cites Work

• Weak solutions for the Levi equation and envelope of holomorphy
• On boundaries of complex analytic varieties. I
• Differentiable manifolds in complex Euclidean space
• EXTENSION OF CR FUNCTIONS INTO A WEDGE FROM A MANIFOLD OF FINITE TYPE
• Envelopes of Holomorphy of Certain 2-Spheres in C 2*
• On the Envelope of Holomorphy of a 2-Sphere in ℂ 2
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