Regularity of CR mappings of abstract CR structures

DOI10.1142/S0129167X20500093zbMath1439.32041OpenAlexW2986327549WikidataQ126801661 ScholiaQ126801661MaRDI QIDQ5214080

Bernhard Lamel, Nordine Mir

Publication date: 7 February 2020

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0129167x20500093

zbMATH Keywords

finite typeCR mapabstract CR manifold\(\mathscr{C}^\infty\) regularityformal subvariety

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Embeddings of CR manifolds (32V30) CR structures, CR operators, and generalizations (32V05) Analysis on CR manifolds (32V20) Boundary regularity of mappings in several complex variables (32H40) Finite-type conditions on CR manifolds (32V35)

Related Items (4)

The finite jet determination problem for CR maps of positive codimension into Nash manifolds ⋮ Regularity of sections of CR vector bundles ⋮ A generalization of a microlocal version of Bochner’s theorem ⋮ Two decades of finite jet determination of CR mappings

Cites Work

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• On the local character of the solutions of an atypical linear differential equation in three variables and a related theorem for regular functions of two complex variables
• The analysis of linear partial differential operators. III: Pseudo-differential operators
• Real hypersurfaces, orders of contact, and applications
• The pseudoanalytic extension
• Convergence and divergence of formal CR mappings
• On the \(\mathcal{C}^\infty\) regularity of CR mappings of positive codimension
• A \(C^\infty\)-regularity theorem for nondegenerate CR mappings
• Holomorphic deformations of real-analytic CR maps and analytic regularity of CR mappings
• Images of real submanifolds under finite holomorphic mappings
• On the CR Transversality of Holomorphic Maps into Hyperquadrics
• EXTENSION OF CR FUNCTIONS INTO A WEDGE FROM A MANIFOLD OF FINITE TYPE
• On the c∞ version of the reflection principle for mappings between CR manifolds
• A Propos De "Wedges" et D' "Edges et de Prolongements Holomorphes
• Regularite De Fonctions Holomorphes Sur Des Wedges
• Several Complex Variables and the Geometry of Real Hypersurfaces
• On the regularity of CR mappings between CR manifolds of hypersurface type

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