first
prev
toc
next
last
Download Citation
Recommend
Mark
Alert
Link
Print
Quasiconformal groups with small dilatation II
Authors:
Petra Bonfert-Taylor a;
Gaven Martin b
| Affiliations: | a Department of Mathematics, Wesleyan University, Middletown, CT |
| b Massey University, Albany, Auckland, New Zealand |
DOI:
10.1080/02781070500430370
Publication Frequency:
12 issues per year
Published in:
Complex Variables and Elliptic Equations,
Volume
51,
Issue
2
February
2006
, pages 165
- 179
Complex Variables and Elliptic Equations,
Volume
51,
Issue
2
February
2006
, pages 165
- 179
Subjects:
Analysis - Mathematics;
Complex Variables;
Computational Numerical Analysis;
Functional Analysis;
Mathematical Analysis;
Theory of Numbers;
Formats available:
HTML
(English)
:
PDF
(English)
Previously published as:
Complex Variables, Theory and Application: An International Journal
(0278-1077,
1563-5066)
until 2006
Article Requests:
Order Reprints
:
Request Permissions
-
Single Article Purchase:
US$37.00
-
buy now
-
Sign In
- Online Sample
add to cart 
[ show other buying options ]
View Article:
View Article (PDF)
View Article (HTML)
Abstract
We study discrete quasiconformal groups with small dilatation (that is, dilatation close to 1) in n dimensions, n ≥ 3. In particular, we show that under fairly general algebraic assumptions, a discrete quasiconformal group with small dilatation is isomorphic to a discrete group of M
 bius transformations. We then analyse under what conditions the algebraic isomorphism is induced by a geometric homeomorphism between the limit sets.
|
| Keywords: 2000 Mathematics Subject Classifications:; 57S30; 30C65; 30F40; 20H10 |
| view references (20) |
|
Bookmark with:
|
CiteULike
Del.icio.us
BibSonomy
Connotea
More bookmarks
