IJPAM: Volume 34, No. 4 (2007)
HYPERBOLIC GEODESICS IN QUASIDISKS
Yuming Chu
, Gendi Wang
, Xiaohui Zhang
Department of Mathematics
Huzhou Teachers College,
Zhejiang, Huzhou, 313000, P.R. CHINA
e-mail: chuyuming@hutc.zj.cn




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

Abstract.Let be a Jordan proper subdomain of
whose boundary contains at least three points,
, the exterior of
. In this paper, the
authors prove that
is a quasidisk if and only if there exists a
constant
such that

for each hyperbolic geodesics





Received: November 29, 2006
AMS Subject Classification: 30C62
Key Words and Phrases: quasidisk, hyperbolic geodesic, hyperbolic distance
Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2007
Volume: 34
Issue: 4