Extremal length boundary of Teichm\"uller space contains non-Busemann points

Hideki Miyachi

Extremal length boundary of Teichm\"uller space contains non-Busemann points

Geometric Topology 2014-02-24 v2 Complex Variables Metric Geometry

Authors: 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.

Keywords

Teichmuller space extremal length boundary Busemann points metric boundary Teichmuller distance

Cite

@article{arxiv.1105.3070,
  title  = {Extremal length boundary of Teichm\"uller space contains non-Busemann points},
  author = {Hideki Miyachi},
  journal= {arXiv preprint arXiv:1105.3070},
  year   = {2014}
}

Comments

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

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