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Estimates for the Modulus of a Torus Shell Author: Wen-Dar Hwang(Department of Mathematics College of Sciences )

Abstract：

Let D (a,b) be a torus shell, it is generated by revolving an open plane circular ring R（a, b）={(x,y)｜1≦(x-a)2+y2≦b2},where 1＜b＜a, about y axis. The main results of this study are as follow：
(1) The modulus of torus shell D (a,b) is

(2)Discuss the upper bound and lower bound of the coefficient of quasiconformal mapping between two special Torus shells.

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