The Quasiconvexity of Quasigeodesics in Real Normed Vector Spaces

被引：0
|
作者：
M. Huang
S. Ponnusamy
X. Wang
机构：
[1] Hunan Normal University,Department of Mathematics
[2] Indian Institute of Technology Madras,Department of Mathematics
来源：
Results in Mathematics | 2010年 / 57卷
关键词：
Primary 30C65; 30F45; Secondary 30C20; Uniform domain; convex domain; quasihyperbolic geodesic; quasigeodesic; quasiconvexity;
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学科分类号：
摘要：
In this paper, we assume that E is a real normed space of dimension at least two. The aim of this paper is to show that, for any convex domain in E, each quasigeodesic in this domain is quasiconvex in the norm metric. This result gives an affirmative answer to an open problem raised recently by Väisälä.
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页码：239 / 256
页数：17
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