Journal directory listing - Volume 21-30 (1976-1985) - Volume 27 (1982)

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


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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