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QUANTITATIVE QUASISYMMETRIC UNIFORMIZATION OF COMPACT SURFACES.

Authors :
GEYER, LUKAS
WILDRICK, KEVIN
Source :
Proceedings of the American Mathematical Society. Jan2018, Vol. 146 Issue 1, p281-293. 13p.
Publication Year :
2018

Abstract

Bonk and Kleiner showed that any metric sphere which is Ahlfors 2-regular and linearly locally contractible is quasisymmetrically equivalent to the standard sphere in a quantitative way. We extend this result to arbitrary metric compact orientable surfaces. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*METRIC geometry
*QUASISYMMETRIC groups
*GROUP theory
*ARBITRARY constants
*RIEMANNIAN geometry
*GENERALIZED spaces

Details

Language :
English
ISSN :
00029939
Volume :
146
Issue :
1
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
126286206
Full Text :
https://doi.org/10.1090/proc/13722
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