Extremal length boundary of Teichmüller space contains non-Busemann points

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.

The 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

References in corpus (2)

• Geometry of the Complex of Curves I: Hyperbolicity
• The max-plus Martin boundary

Cited by in corpus (1)

• On behavior of pairs of Teichmüller geodesic rays