IJPAM: Volume 36, No. 3 (2007)
A GEOMETRIC INTERPRETATION FOR SPHERE
DISTORTION OF SURFACES IN 3-SPACE
DISTORTION OF SURFACES IN 3-SPACE
Gong Weiming
, Chu Yuming
, Wu Linli
Department of Mathematics
Hunan City University
Yiyang, 413000, P.R. CHINA
e-mail: gwm@mail.hncul.net
Department of Mathematics
Huzhou Teachers College
Huzhou, 313000, P.R. CHINA
e-mail: chuyuming@hutc.zj.cn
e-mail: wll1303@hutc.zj.cn




Hunan City University
Yiyang, 413000, P.R. CHINA
e-mail: gwm@mail.hncul.net

Huzhou Teachers College
Huzhou, 313000, P.R. CHINA


Abstract.Let be a 2-dimensional Jordan surface in
which contains
, in this paper, the authors prove that
has sphere distortion
if and only if there exists a constant
,
, such that for each point
in one component of
there exists a point
in the other component
with
,
.
Received: June 22, 2006
AMS Subject Classification: 30C99
Key Words and Phrases: sphere distortion, Möbius transformation, spherical ring
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 36
Issue: 3