The Quasiconvexity of Quasigeodesics in real normed vector spaces

Date Issued
10-03-2010
Author(s)
Huang, M.
Indian Institute of Technology, Madras
Wang, X.
DOI
Abstract
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. © 2010 Birkhäuser / Springer Basel AG 2010.
Volume
57
Subjects