Complex hyperbolic Kleinian groups of large critical exponents
Geometric Topology
2023-10-10 v2 Complex Variables
Group Theory
Abstract
In this article, we show that there exist discrete isometry groups of the - and -dimensional complex hyperbolic spaces with critical exponents arbitrarily close to but strictly smaller than the maximum possible value. This result shows no gap in the values of critical exponents for complex hyperbolic Kleinian groups.
Cite
@article{arxiv.2205.05127,
title = {Complex hyperbolic Kleinian groups of large critical exponents},
author = {Subhadip Dey and Beibei Liu},
journal= {arXiv preprint arXiv:2205.05127},
year = {2023}
}
Comments
8 pages. We improved the main results. Accepted by J. Differential Geom