Acta mathematica scientia,Series A ›› 2009, Vol. 29 ›› Issue (2): 239-244.

• Articles • Previous Articles     Next Articles

Double-disk Property of Curves and Quasiconformal Mappings

 CHU Yu-Meng, WANG Gen-Di, ZHANG Xiao-Hui   

  1. (1. Department of Mathematics, Hunan City University, Hunan Yiyang 413000|2. Department of Mathematics, Huzhou Teachers College, Zhejiang Huzhou 313000)
  • Received:2007-03-08 Revised:2009-02-23 Online:2009-04-25 Published:2009-04-25
  • Supported by:

    国家重点基础研究发展计划(973计划)基金(2006CB708304)、国家自然科学基金(10771195)、浙江省自然科学基金(Y607128)和浙江省教育厅科研计划重点基金(20060306)资助

Abstract:

Let fR2R2 be a homeomorphism with f (∝)=∝. In this paper, the authors prove that f is a quasiconformal mapping if and only if f preserves the double-disk property of curves.

Key words: Quasiconformal mapping, Double-disk property, Circular distortion of curves, Quasicircle

CLC Number: 

  • 30C62
Trendmd