\(J\)-holomorphic discs and real analytic hypersurfaces

DOI10.5802/AIF.2910zbMath1318.32030arXiv1211.3620OpenAlexW2963350779MaRDI QIDQ486838

William Alexandre, Emmanuel Mazzilli

Publication date: 16 January 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3620

zbMATH Keywords

hypersurfacealmost complex structureLevi form\(J\)-holomorphic disc

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Almost complex manifolds (32Q60) Pseudoholomorphic curves (32Q65)

Cites Work

• Unnamed Item
• Regular type of real hyper-surfaces in (almost) complex manifolds
• Holomorphic curves in symplectic geometry
• Schwarz-type lemmas for solutions of \(\bar\partial \)-inequalities and complete hyperbolicity of almost complex manifolds.
• Schwarz reflection principle, boundary regularity and compactness for \(J\)-complex curves
• Pseudoholomorphic discs attached to CR-submanifolds of almost complex spaces
• Linear differential systems with singularities and an application to transitive Lie algebras
• Local complex foliation of real submanifolds

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