CR complexity and hyperquadric maps

John P. D’Angelo

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We survey aspects of CR complexity for maps between spheres and hyperquadrics, provide some new interpretations of the maps found by Lebl and Reiter, and indicate how group-invariance fit into the story.

Original languageEnglish (US)
Title of host publicationAnalysis and Geometry - In Honour of Mohammed Salah Baouendi
EditorsAli Baklouti, Aziz El Kacimi, Sadok Kallel, Nordine Mir
PublisherSpringer
Pages17-34
Number of pages18
ISBN (Print)9783319174426
DOIs
StatePublished - 2015
EventInternational Conference on MIMS-GGTM, 2014 - Tunis, Tunisia
Duration: Mar 24 2014Mar 27 2014

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume127
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Other

OtherInternational Conference on MIMS-GGTM, 2014
Country/TerritoryTunisia
CityTunis
Period3/24/143/27/14

Keywords

  • Blaschke product
  • CR complexity
  • CR geometry
  • Group-invariant CR maps
  • Homotopy equivalence
  • Hyperquadrics
  • Proper holomorphic mappings
  • Spherical equivalence
  • Unit sphere

ASJC Scopus subject areas

  • Mathematics(all)

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