A Theorem of Ahlfors for Hyperbolic Spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1978Publisher:JSTORJournal:Transactions of the American Mathematical Society, volume 242, page 401 (issn: 0002-9947,

Copyright policy )

Authors: Chen, Su-Shing;

doi: 10.2307/1997747 , 10.1090/s0002-9947-1978-0496817-0

A Theorem of Ahlfors for Hyperbolic Spaces

- Summary
- Subjects
- Metrics

Abstract

L. Ahlfors has proved that if the Dirichlet fundamental polyhedron of a Kleinian group G in the unit ball B 3 {B^3} has finitely many sides, then the normalized Lebesgue measure of L ( G ) L(G) is either zero or one. We generalize this theorem and a theorem of Beardon and Maskit to the n -dimensional case.

Keywords

Discrete subgroups of Lie groups

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average