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Quasisymmetric structures on surfaces
Author(s):
Kevin
Wildrick
Journal:
Trans. Amer. Math. Soc.
362
(2010),
623-659.
MSC (2000):
Primary 30C65
Posted:
September 18, 2009
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Abstract:
We show that a locally Ahlfors  -regular and locally linearly locally contractible metric surface is locally quasisymmetrically equivalent to the disk. We also discuss an application of this result to the problem of characterizing surfaces embedded in some Euclidean spaces that are locally bi-Lipschitz equivalent to a ball in the plane.
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Additional Information:
Kevin
Wildrick
Affiliation:
Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor, Michigan 48109-1043
Address at time of publication:
Department of Mathematics and Statistics, University of Jyväskylä, PL 35 MaD, 40014 Jyväskylän yliopisto, Finland
Email:
kewildri@jyu.fi
DOI:
10.1090/S0002-9947-09-04861-2
PII:
S 0002-9947(09)04861-2
Received by editor(s):
July 5, 2007
Posted:
September 18, 2009
Additional Notes:
The author was partially supported by NSF grants DMS 0244421, DMS 0456940, and DMS 0602191.
Dedicated:
In memoriam: Juha Heinonen (1960 - 2007)
Copyright of article:
Copyright
2009,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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