A Note on Complex-Hyperbolic Kleinian Groups
- Authors
- Publication Date
- Dec 01, 2020
- Source
- eScholarship - University of California
- Keywords
- License
- Unknown
- External links
Abstract
Let Γ be a discrete group of isometries acting on the complex hyperbolic n-space HCn. In this note, we prove that if Γ is convex-cocompact, torsion-free, and the critical exponent δ(Γ) is strictly lesser than 2, then the complex manifold HCn/Γ is Stein. We also discuss several related conjectures.