Levi-flat filling of real two-spheres in symplectic manifolds. I.

DOI10.5802/afst.1316zbMath1242.53107arXiv1010.0593OpenAlexW2049358864MaRDI QIDQ650980

Hervé Gaussier, Alexandre B. Sukhov

Publication date: 8 December 2011

Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.0593

zbMATH Keywords

elliptic pointsLevi-flat hypersurfacesBishop disksconfoliations

Mathematics Subject Classification ID

Global theory of symplectic and contact manifolds (53D35) Foliations (differential geometric aspects) (53C12) Pseudoholomorphic curves (32Q65)

Related Items

Gluing complex discs to Lagrangian manifolds by Gromov's method ⋮ Levi-flat filling of real two-spheres in symplectic manifolds. II

Cites Work

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• Regular type of real hyper-surfaces in (almost) complex manifolds
• Pseudo holomorphic curves in symplectic manifolds
• On genericity for holomorphic curves in four-dimensional almost-complex manifolds
• The local hull of holomorphy of a surface in the space of two complex variables
• Pseudoconvex domains: bounded strictly plurisubharmonic exhaustion functions
• Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
• Holomorphic curves in symplectic geometry
• Filling by holomorphic disks with weakly pseudoconvex boundary conditions
• The structure of branch points in minimal surfaces and in pseudoholomorphic curves
• Pseudoholomorphic discs near an elliptic point
• Plurisubharmonic exhaustion functions and almost complex Stein structures
• Differentiable manifolds in complex Euclidean space
• Envelopes of Holomorphy of Certain 2-Spheres in C 2*
• On the Envelope of Holomorphy of a 2-Sphere in ℂ 2
• Filling by holomorphic curves in symplectic 4-manifolds
• Filling hypersurfaces by discs in almost complex manifolds of dimension 2