Schwarz reflection principle in complex spaces of dimension two

DOI10.1080/03605309608821246zbMath0886.32010OpenAlexW1605461519MaRDI QIDQ4349731

Xiaojun Huang

Publication date: 28 September 1997

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309608821246

zbMATH Keywords

complex spacesreal analytic hypersurfacesSchwarz reflection principleCR-mappingsCR-spaces

Mathematics Subject Classification ID

Continuation of analytic objects in several complex variables (32D15) Real submanifolds in complex manifolds (32V40) CR structures, CR operators, and generalizations (32V05)

Related Items (23)

Submanifolds of Hermitian Symmetric Spaces ⋮ CR submanifolds with vanishing second fundamental forms ⋮ Analytic continuation of holomorphic mappings ⋮ Remarks on the rank properties of formal CR maps ⋮ On a CR transversality problem through the approach of the Chern-Moser theory ⋮ Ultradifferentiable CR manifolds ⋮ Regularity of continuous CR maps in arbitrary dimension. ⋮ Reflection ideals and mappings between generic submanifolds in complex space ⋮ Non-embeddable real algebraic hypersurfaces ⋮ A Regularity Result for CR Mappings Between Infinite Type Hypersurfaces ⋮ Analytic sets and the boundary regularity of CR mappings ⋮ Finite jet determination of CR mappings ⋮ On vector fields in the plane with the reflection property ⋮ Reflection principle and boundary properties of holomorphic mappings ⋮ On the CR Transversality of Holomorphic Maps into Hyperquadrics ⋮ Local geometric properties of real submanifolds in complex space ⋮ The geometric reflection principle in several complex variables: a survey ⋮ Germs of holomorphic mappings between real algebraic hypersurfaces ⋮ On formal maps between generic submanifolds in complex space ⋮ Algebraicity of local holomorphisms between real-algebraic submanifolds of complex spaces ⋮ Convergence and finite determination of formal CR mappings ⋮ On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle ⋮ Stationary discs for smooth hypersurfaces of finite type and finite jet determination

This page was built for publication: Schwarz reflection principle in complex spaces of dimension two