A reflection principle with applications to proper holomorphic mappings

DOI10.1007/BF01455949zbMath0525.32021OpenAlexW2013056161MaRDI QIDQ594250

Joseph A. Cima, Ted J. Suffridge

Publication date: 1983

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163834

zbMATH Keywords

reflection principlemapping of n-ball into (n+1)-ball

Mathematics Subject Classification ID

Related Items (28)

Proper holomorphic maps from balls ⋮ Classification of holomorphic mappings of hyperquadrics from \(\mathbb C^2\) to \(\mathbb C^3\) ⋮ On the mapping problem for algebraic real hypersurfaces in the complex spaces of different dimensions ⋮ CR submanifolds with vanishing second fundamental forms ⋮ Extending proper holomorphic mappings of positive codimension ⋮ Polynomial proper maps between balls ⋮ Rigidity of CR maps between Shilov boundaries of bounded symmetric domains ⋮ Rigidity of CR submanifolds and analyticity of CR immersions ⋮ Rigidity of proper holomorphic mappings between certain nonequidimensional unbounded non-hyperbolic domains ⋮ Boundary behavior of rational proper maps ⋮ Proper holomorphic maps between balls in one co-dimension ⋮ On the third gap for proper holomorphic maps between balls ⋮ Classification of proper holomorphic mappings between certain unbounded non-hyperbolic domains ⋮ Mappings of quadric Cauchy-Riemann manifolds ⋮ Super-rigidity for CR embeddings of real hypersurfaces into hyperquadrics ⋮ Proper holomorphic mappings ⋮ Semi-isometric CR immersions of CR manifolds into Kähler manifolds and applications ⋮ Applications holomorphes propres continues de domaines strictement pseudoconvexes de \({\mathbb{C}}^ n\) dans la boule unité de \({\mathbb{C}}^{n+1}\). (On the extension of proper holomorphic mappings from strictly pseudoconvex domains in \({\mathbb{C}}^ n\) into the unit ball of \({\mathbb{C}}^{n+1})\) ⋮ Rational proper holomorphic maps from \(\mathbf B^n\) into \(\mathbf B^{2n}\) ⋮ Spherical space forms, CR-mappings, and proper maps between balls ⋮ Proper Holomorphic Maps Between Bounded Symmetric Domains ⋮ Automorphisms and holomorphic mappings of standard CR-manifolds and Siegel domains ⋮ A reflection principle for proper holomorphic mappings of strongly pseudoconvex domains and applications ⋮ Proper Holomorphic Mappings from the Two-ball to the Three-ball ⋮ On the regularity of CR mappings between CR manifolds of hypersurface type ⋮ Holomorphic maps from the unit ball of \({\mathbb{C}}^ N\) that take hyperplanes into hyperplanes ⋮ Embeddings and proper holomorphic maps of strictly pseudoconvex domains into polydiscs and balls ⋮ Rigidity of proper holomorphic maps between bounded symmetric domains

Cites Work

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• Maps from the two-ball to the three-ball
• On mapping an n-ball into an (n+1)-ball in complex space
• On the mininum number of domains in which the nodal lines of spherical harmonics divide the sphere

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