Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 32, 2007, 481-495
Virginia Tech, Department of Mathematics
Blacksburg, VA 24060-0123, U.S.A.; xiexg 'at' math.vt.edu
Abstract. We show that if a domain \Omega in a geodesic metric space is quasimöbius to a uniform domain in some metric space, then \Omega is also uniform.
2000 Mathematics Subject Classification: Primary 30C65.
Key words: Quasisymmetric, quasimöbius, uniform domain, quasihyperbolic.
Reference to this article: X. Xie: Quasimöbius maps preserve uniform domains. Ann. Acad. Sci. Fenn. Math. 32 (2007), 481-495.
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Copyright © 2007 by Academia Scientiarum Fennica