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渐近共形曲线与渐近光滑曲线的若干几何刻画

Some Geometric Characterizations of Asymptotically Conformal and Smooth Curves
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摘要 本文利用Peter Jonesβ数与拟共形反射,得到了渐近共形与渐近光滑曲线的一些几何刻画. By means of Peter Jones’βnumber and quasiconformal reflections,we obtain some geometric characterizations of the asymptotically conformal curves and asymptotically smooth curves.
作者 唐树安 TANG Shu’an(School of Mathematics Sciences,Guizhou Normal University,Guiyang,Guizhou,550001,P.R.China)
出处 《数学进展》 CSCD 北大核心 2020年第6期685-692,共8页 Advances in Mathematics(China)
基金 Foundation itemSupported by NSFC(No.12061022) the Foundation of Guizhou Provincial Ministry of Science and Technology(Nos.20177337,20175726)。
关键词 渐近共形曲线 渐近光滑曲线 拟共形映射 拟共形反射 Peter Jonesβ数 asymptotically conformal curve asymptotically smooth curve quasiconformal mappings quasiconformal reflection Peter Jones’βnumber
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