Non-Discrete Complex Hyperbolic Triangle Groups of Type (m,m,infinity)
Differential Geometry
2014-02-26 v1
Abstract
In this note we prove that a complex hyperbolic triangle group of type (m,m,infinity), i.e. a group of isometries of the complex hyperbolic plane, generated by complex reflections in three complex geodesics meeting at angles Pi/m, Pi/m and 0, is not discrete if the product of the three generators is regular elliptic.
Cite
@article{arxiv.1004.5434,
title = {Non-Discrete Complex Hyperbolic Triangle Groups of Type (m,m,infinity)},
author = {Anna Pratoussevitch},
journal= {arXiv preprint arXiv:1004.5434},
year = {2014}
}
Comments
5 pages.