The Riemann mapping non-theorem

DOI10.1007/BF03024139zbMath0754.30002MaRDI QIDQ1189872

Nancy K. Stanton

Publication date: 27 September 1992

Published in: The Mathematical Intelligencer (Search for Journal in Brave)

zbMATH Keywords

failure of Riemann mapping theorem in several variables

Mathematics Subject Classification ID

Conformal mappings of special domains (30C20) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Research exposition (monographs, survey articles) pertaining to functions of a complex variable (30-02) Other generalizations of function theory of one complex variable (32A30)

Related Items

Projective geometry and Riemann's mapping problem

Cites Work

• On the pseudo-conformal geometry of hypersurface of the space of \(n\) complex variables
• Real hypersurfaces in complex manifolds
• On the mapping problem for algebraic real hypersurfaces
• Sur la géométrie pseudo-conforme des hypersurfaces de l'espace de deux variables complexes
• The Bergman kernel and biholomorphic mappings of pseudoconvex domains
• On generalized graded Lie algebras and geometric structures. I
• Mapping problems in complex analysis and the \overline∂-problem
• Non-analytic hypersurfaces in \(\mathbb{C}^n\)
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