Holomorphic maps from the complex unit ball to Type IV classical domains

Ming Xiao, Yuan Yuan

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We prove rigidity results for holomorphic proper maps from the complex unit ball to the Type IV bounded symmetric domain when the codimension is small. In addition, a classification result is established in the codimension one case.

Original languageEnglish (US)
JournalJournal des Mathematiques Pures et Appliquees
DOIs
StatePublished - Jan 1 2019

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Holomorphic Maps
Unit ball
Rigidity
Codimension
Proper Map
Bounded Symmetric Domain

Keywords

  • Bergman metric
  • Bounded symmetric domain
  • Holomorphic isometry
  • Proper holomorphic map

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

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title = "Holomorphic maps from the complex unit ball to Type IV classical domains",
abstract = "We prove rigidity results for holomorphic proper maps from the complex unit ball to the Type IV bounded symmetric domain when the codimension is small. In addition, a classification result is established in the codimension one case.",
keywords = "Bergman metric, Bounded symmetric domain, Holomorphic isometry, Proper holomorphic map",
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AU - Yuan, Yuan

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KW - Bounded symmetric domain

KW - Holomorphic isometry

KW - Proper holomorphic map

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