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A Note on Complex-Hyperbolic Kleinian Groups

Authors
  • Dey, Subhadip
  • Kapovich, Michael
Publication Date
Dec 01, 2020
Source
eScholarship - University of California
Keywords
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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.

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