CR Complexity and Hyperquadric Maps

DOI10.1007/978-3-319-17443-3_3zbMath1326.32006OpenAlexW2339721454MaRDI QIDQ3447479

John P. D'Angelo

Publication date: 27 October 2015

Published in: Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-17443-3_3

zbMATH Keywords

unit sphereproper holomorphic mappingsBlaschke productCR geometryhomotopy equivalencehyperquadricsCR complexitygroup-invariant CR mapsspherical equivalence

Mathematics Subject Classification ID

Homotopy equivalences in algebraic topology (55P10) Holomorphic mappings, (holomorphic) embeddings and related questions in several complex variables (32H02) Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Semialgebraic sets and related spaces (14P10) Proper holomorphic mappings, finiteness theorems (32H35) Complex spaces with a group of automorphisms (32M99) Harmonic analysis of several complex variables (32A50) Blaschke products (30J10)

Related Items (2)

On the embeddability of real hypersurfaces into hyperquadrics ⋮ The reflection map and infinitesimal deformations of sphere mappings

Cites Work

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• Embedding Strictly Pseudoconvex Domains Into Balls
• PROPER HOLOMORPHIC MAPPINGS, POSITIVITY CONDITIONS, AND ISOMETRIC IMBEDDING
• Mapping \(B^n\) into \(B^{2n-1}\)

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