Currents invariant by a Kleinian group
type: Item
instance of: scholarly article
title: Currents invariant by a Kleinian group
zbMATH Open document ID: 0872.58003
author: A. El Kacimi Alaoui
author: Shigenori Matsumoto
author: Tarek Moussa
published in: Hokkaido Mathematical Journal
publication date: 1997-10-19T00:00:00Z
review text: It is well known that nonelementary Kleinian groups do not admit invariant measures. Since distributions in the sense of L. Schwartz are generalizations of measures it is naturally to ask: Do there exist invariant distributions on Kleinian groups? In the paper under review the authors prove that there exist Kleinian groups which admit invariant distributions. The proof is elegant, and also some interesting connections with the foliation theory are nicely pointed out.
Mathematics Subject Classification ID: 58A25
Mathematics Subject Classification ID: 30F40
Mathematics Subject Classification ID: 57R30
zbMATH DE Number: 992422
zbMATH Keywords: currents
zbMATH Keywords: Poincaré exponent
zbMATH Keywords: Kleinian groups
zbMATH Keywords: invariant distributions
reviewed by: Mircea Puta
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1351257813
OpenAlex ID: W2087159047
DOI: 10.14492/HOKMJ/1351257813
description: scientific article; zbMATH DE number 992422