Convergence of formal CR mappings into strongly pseudoconvex Cauchy-Riemann manifolds

DOI10.1007/s00222-017-0743-3zbMath1396.32016OpenAlexW2729140620WikidataQ59607502 ScholiaQ59607502MaRDI QIDQ1689502

Nordine Mir, Bernhard Lamel

Publication date: 12 January 2018

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00222-017-0743-3

zbMATH Keywords

formal power seriesreal-analytic CR manifolds

Mathematics Subject Classification ID

Real submanifolds in complex manifolds (32V40) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) 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)

Related Items (7)

The reflection map and infinitesimal deformations of sphere mappings ⋮ On the \(\mathcal{C}^\infty\) regularity of CR mappings of positive codimension ⋮ The finite jet determination problem for CR maps of positive codimension into Nash manifolds ⋮ Regularity of sections of CR vector bundles ⋮ Boundary characterization of holomorphic isometric embeddings between indefinite hyperbolic spaces ⋮ Formal versus analytic CR mappings ⋮ Unique jet determination and extension of germs of CR maps into spheres

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