On the geometry of model almost complex manifolds with boundary

DOI10.1007/s00209-006-0959-1zbMath1107.32009arXivmath/0412095OpenAlexW2029990551MaRDI QIDQ2509053

Hervé Gaussier, Alexandre B. Sukhov

Publication date: 16 October 2006

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412095

zbMATH Keywords

almost complex manifoldscompactness principlestrictly convex domains

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost complex manifolds (32Q60) Pseudoholomorphic curves (32Q65)

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Characterizations of Strongly Pseudoconvex Models in Almost Complex and CR Geometries ⋮ Integrable submanifolds in almost complex manifolds ⋮ Symmetries of almost complex structures and pseudoholomorphic foliations ⋮ Poincaré-Alexander theorem for model domains ⋮ On the upper-semicontinuity of automorphism groups of model domains in almost complex manifolds ⋮ Rudin's theorem for model domains ⋮ Almost CR manifolds with contracting CR automorphism ⋮ Diffeomorphisms of Stein structures ⋮ Stationary holomorphic discs and finite jet determination problems ⋮ Schwarz reflection principle, boundary regularity and compactness for \(J\)-complex curves ⋮ Strongly pseudoconvex homogeneous domains in almost complex manifolds ⋮ Regularity to the boundary of proper pseudo-holomorphic maps ⋮ Regularity and estimates for \(J\)-holomorphic discs attached to a maximal totally real submanifold ⋮ The Chirka-Lindelöf and Fatou theorems for \(\overline{\partial}_J\)-subsolutions ⋮ Some aspects of analysis on almost complex manifolds with boundary ⋮ Foliations by stationary disks of almost complex domains ⋮ Subconformal Yamabe equation and automorphism groups of almost CR manifolds ⋮ Almost complex structures on the cotangent bundle ⋮ Complete prolongation for infinitesimal automorphisms on almost complex manifolds ⋮ Compactness theorems for sequences of pseudo-holomorphic coverings between domains in almost complex manifolds ⋮ Proper pseudoholomorphic maps between strictly pseudoconvex regions ⋮ On the automorphism group of strongly pseudoconvex domains in almost complex manifolds ⋮ Homogeneous almost complex manifolds and their compact quotients ⋮ Pluripotential Theory and Monge–Ampère Foliations

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