Imbedding annuli in C\(^2\)

DOI10.1007/BF02790429zbMath0286.32017OpenAlexW2061473584MaRDI QIDQ1846000

Henry B. Laufer

Publication date: 1973

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02790429

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Holomorphic mappings and correspondences (32H99) Moduli of Riemann surfaces, Teichmüller theory (complex-analytic aspects in several variables) (32G15) Two-dimensional potential theory (31A99)

Related Items (14)

Holomorphic embeddings of planar domains in \(\mathbb{C}^ 2\) ⋮ Michael’s problem and the Poincaré-Fatou-Bieberbach phenomenon ⋮ Proper holomorphic embeddings of Riemann surfaces with arbitrary topology into \({\mathbb C^2}\) ⋮ Growth of proper holomorphic maps and tropical power series ⋮ Pseudoconvexity in the theory of complex spaces ⋮ A strong Oka principle for embeddings of some planar domains into \(\mathbb C\times\mathbb C^\ast\) ⋮ Embedding subsets of tori properly into \(\mathbb C^2\) ⋮ Approximation by proper holomorphic maps and tropical power series ⋮ Proper holomorphic mappings ⋮ Embedding certain infinitely connected subsets of bordered Riemann surfaces properly into \(\mathbb C^{2}\) ⋮ Polydiscs in complex manifolds ⋮ Bordered Riemann surfaces in \(\mathbb C^2\) ⋮ Extending holomorphic maps from Stein manifolds into affine toric varieties ⋮ Proper holomorphic embeddings of finitely and some infinitely connected subsets of \(\mathbb C\) into \(\mathbb C^2\)

Cites Work

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• Introduction to the theory of analytic spaces
• Plongements des variétés de Stein
• The theory of the second variation in extremum problems for univalent functions
• The Lefschetz theorem on hyperplane sections
• Convexity of domain functionals
• Imbedding of Holomorphically Complete Complex Spaces
• On Potentials of Positive Mass
• Mappings of Partially Analytic Spaces
• On the Higher Derivatives at the Boundary in Conformal Mapping

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