English

Real hyperbolic representations of PU(1,n)

Metric Geometry 2022-11-22 v2 Group Theory

Abstract

It is shown that for n bigger than 1, the group of holomorphic isometries of the n dimensional complex hyperbolic space does not admit non-elementary representations into the group of isometries of the infinite dimensional real hyperbolic space.

Keywords

Cite

@article{arxiv.2211.02616,
  title  = {Real hyperbolic representations of PU(1,n)},
  author = {Gonzalo Emiliano Ruiz Stolowicz},
  journal= {arXiv preprint arXiv:2211.02616},
  year   = {2022}
}

Comments

Typo correction

R2 v1 2026-06-28T05:12:44.293Z