On the \(\mathcal{C}^\infty\) regularity of CR mappings of positive codimension

DOI10.1016/j.aim.2018.07.004zbMath1411.32025OpenAlexW2884148241MaRDI QIDQ1669045

Bernhard Lamel, Nordine Mir

Publication date: 29 August 2018

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2018.07.004

zbMATH Keywords

CR mappoints of finite type\(\mathcal{C}^\infty\) regularity

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Finite-type domains (32T25) Extension of functions and other analytic objects from CR manifolds (32V25) Analysis on CR manifolds (32V20) Boundary regularity of mappings in several complex variables (32H40) Geometric and analytic invariants on weakly pseudoconvex boundaries (32T27)

Related Items (11)

Ultradifferentiable CR manifolds ⋮ The finite jet determination problem for CR maps of positive codimension into Nash manifolds ⋮ Regularity of sections of CR vector bundles ⋮ Regularity of mappings into classical domains ⋮ Regular multi-types and the Bloom conjecture ⋮ Regularity of CR mappings of abstract CR structures ⋮ Finite type points on subsets of \(\mathbb{C}^n\) ⋮ Local boundedness of Catlin \(q\)-type ⋮ A generalization of a microlocal version of Bochner’s theorem ⋮ Two decades of finite jet determination of CR mappings ⋮ On CR maps from the sphere into the tube over the future light cone

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