Analytic discs and the regularity of CR mappings in higher codimension

DOI10.1215/S0012-7094-94-07633-3zbMath0861.32017MaRDI QIDQ1804673

Alexander Tumanov

Publication date: 11 June 1995

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

zbMATH Keywords

real surface\(CR\) mappingautomatic smoothness

Mathematics Subject Classification ID

Analytic continuation (32D99) Holomorphic mappings and correspondences (32H99) Real-analytic manifolds, real-analytic spaces (32C05)

Related Items (10)

On the number of affine equivalence classes of spherical tube hypersurfaces ⋮ Reflection about \(k\)-jets and holomorphic extension of CR mappings. ⋮ On the F. and M. Riesz theorem on wedges with edges of class \(C^{1,\alpha}\) ⋮ Regularity and estimates for \(J\)-holomorphic discs attached to a maximal totally real submanifold ⋮ Some aspects of analysis on almost complex manifolds with boundary ⋮ Fefferman's mapping theorem on almost complex manifolds in complex dimension two ⋮ On the geometry of model almost complex manifolds with boundary ⋮ Common boundary values of holomorphic functions for two-sided complex structures ⋮ Stationary discs and finite jet determination for CR mappings in higher codimension ⋮ On the regularity of CR mappings between CR manifolds of hypersurface type

Cites Work

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• Intrinsic Lipschitz classes on manifolds with applications to complex function theory and estimates for the \(\overline\partial\) and \(\overline\partial_b\) equations
• A reflection principle on strongly pseudoconvex domains with generic corners
• On the geometry of analytic discs attached to real manifolds
• Differentiable manifolds in complex Euclidean space
• Unique continuation and regularity at the boundary for holomorphic functions
• EXTENSION OF CR FUNCTIONS INTO A WEDGE FROM A MANIFOLD OF FINITE TYPE
• ASYMPTOTICALLY HOLOMORPHIC FUNCTIONS AND THEIR APPLICATIONS
• Regularite De Fonctions Holomorphes Sur Des Wedges

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