1105.3070May 16, 2011The title is changed. The previous version is titled as "Teichmuller space has non-Busemann points". This paper is accepted to Transaction AMS, and this file is the final version
Extremal length boundary of Teichmüller space contains non-Busemann points
Hideki Miyachi
Abstract
In this paper, we shall show that the metric boundary of the Teichmueller space with respect to the Teichmueller distance contains non-Busemann points when the complex dimension of the Teichmueller space is at least two.