Extremal length boundary of the Teichmüller space contains non-Busemann points

Miyachi, Hideki

doi:10.1090/S0002-9947-2014-06145-X

Extremal length boundary of the Teichmüller space contains non-Busemann points
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Trans. Amer. Math. Soc. 366 (2014), 5409-5430 Request permission

Abstract:

We present an overview of the extremal length embedding of a Teichmüller space and its extremal length compactification. For Teichmüller spaces of dimension at least two, we describe a large class of non-Busemann points on the metric boundary, that is, points that cannot be realized as limits of almost geodesic rays.

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