Holomorphic isometries between products of complex unit balls

Shan Tai Chan, Ming Xiao, Yuan Yuan

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

We first give an exposition on holomorphic isometries from the Poincaré disk to polydisks and from the Poincaré disk to the product of the Poincaré disk with a complex unit ball. As an application, we provide an example of proper holomorphic map from the unit disk to the complex unit ball that is irrational, algebraic and holomorphic on a neighborhood of the closed unit disk. We also include some new results on holomorphic isometries.

Original languageEnglish (US)
Article number1740010
JournalInternational Journal of Mathematics
Volume28
Issue number9
DOIs
StatePublished - Aug 1 2017

Keywords

  • complex unit balls
  • Holomorphic isometrics

ASJC Scopus subject areas

  • Mathematics(all)

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