Holomorphic isometries from the Poincaré disk into bounded symmetric domains of rank at least two

Shan Tai Chan, Yuan Yuan

Research output: Contribution to journalArticle

1 Scopus citations

Abstract

We first study holomorphic isometries from the Poincaré disk into the product of the unit disk and the complex unit n-ball for n > 2. On the other hand, we observe that there exists a holomorphic isometry from the product of the unit disk and the complex unit n-ball into any irreducible bounded symmetric domain of rank > 2 which is not biholomorphic to any type-IV domain. In particular, our study provides many new examples of holomorphic isometries from the Poincaré disk into irreducible bounded symmetric domains of rank at least 2 except for type-IV domains.

Original languageEnglish (US)
Pages (from-to)2205-2240
Number of pages36
JournalAnnales de l'Institut Fourier
Volume69
Issue number5
DOIs
StatePublished - Jan 1 2020

Keywords

  • Bounded symmetric domains
  • Holomorphic isometries

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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