Quasiconformal Mappings and Weakly Cigar Domains
Received:November 21, 2005  Revised:August 26, 2006
Key Words: quasiconformal mapping   weakly Cigar domain   weakly quasiconvex domain.  
Fund Project:the National Basic Research Program (973 Program) of China (2006CB708304).
Author NameAffiliation
CHU Yu-ming Department of Mathematics, Hunan City University, Hunan 413000, China 
HUANG Man-zi College of Mathematics and Computer Science, Hunan Normal University, Hunan 410081, China 
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Abstract:
      Let $f$: $R^n\rightarrow R^n$ be a homeomorphism. We prove that $f$ is a quasiconformal mapping if and only if the weakly Cigar domains in $R^n$ are invariant under $f$.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.03.029
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