English

Holomorphic isometries from the unit ball into symmetric domains

Complex Variables 2017-02-02 v2

Abstract

We construct isometric holomorphic embeddings of the unit ball into higher rank symmetric domains, first discovered by Mok, in an explicit way using Jordan triple systems, and prove uniqueness results for all domains, including the exceptional domains of dimension 16 and 27.

Keywords

Cite

@article{arxiv.1603.03639,
  title  = {Holomorphic isometries from the unit ball into symmetric domains},
  author = {Harald Upmeier and Kai Wang and Genkai Zhang},
  journal= {arXiv preprint arXiv:1603.03639},
  year   = {2017}
}