English

On a characterization of unbounded homogeneous domains with boundaries of light cone type

Complex Variables 2015-02-24 v2

Abstract

We determine the automorphism groups of unbounded homogeneous domains with boundaries of light cone type. Furthermore we present the group-theoretic characterization of the domain. As a corollary we prove the non-existence of compact quotients of a unbounded homogeneous domain. We also give a counterexample of the characterization.

Keywords

Cite

@article{arxiv.1412.3217,
  title  = {On a characterization of unbounded homogeneous domains with boundaries of light cone type},
  author = {Jun-ichi Mukuno and Yoshikazu Nagata},
  journal= {arXiv preprint arXiv:1412.3217},
  year   = {2015}
}

Comments

18 pages