Distribution of orbits of geometrically finite groups acting on null vectors
File(s)
Published version
Author(s)
Tamam, Nattalie
Warren, Jacqueline M
Type
Journal Article
Abstract
We study the distribution of non-discrete orbits of geometrically finite groups in SO(n, 1)
acting on Rn+1, and more generally on the quotient of SO(n, 1) by a horospherical subgroup.
Using equidistribution of horospherical flows, we obtain both asymptotics for the distribution
of orbits for the action of general geometrically finite groups, and we obtain quantitative
statements with additional assumptions.
acting on Rn+1, and more generally on the quotient of SO(n, 1) by a horospherical subgroup.
Using equidistribution of horospherical flows, we obtain both asymptotics for the distribution
of orbits for the action of general geometrically finite groups, and we obtain quantitative
statements with additional assumptions.
Date Issued
2022-01-27
Date Acceptance
2021-12-09
Citation
Geometriae Dedicata, 2022, 216
ISSN
0046-5755
Publisher
Springer
Journal / Book Title
Geometriae Dedicata
Volume
216
Issue
1
Copyright Statement
© The Author(s) 2022 Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
License URL
Publication Status
Published
Article Number
12
Date Publish Online
2022-01-27