English

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

Complex Variables 2016-06-16 v1

Abstract

We prove rigidity results for holomorphic proper maps from the complex unit ball Bn\mathbb{B}^n to the Type IV bounded symmetric domain DmIVD^{IV}_m where n4,n+1m2n3n \geq 4, n+1\leq m \leq 2n-3. In addition, a classification result is established when m=n+1.m=n+1.

Keywords

Cite

@article{arxiv.1606.04806,
  title  = {Holomorphic maps from the complex unit ball to Type IV classical domains},
  author = {Ming Xiao and Yuan Yuan},
  journal= {arXiv preprint arXiv:1606.04806},
  year   = {2016}
}
R2 v1 2026-06-22T14:26:02.352Z