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math.CV2013
A rigidity theorem for holomorphic disks in Teichmüller space
Hideki Miyachi
In this paper, we discuss a rigidity property for holomorphic disks in Teichmüller space. In fact, we give a refinement of Tanigawa's rigidity theorem. We will also treat the rigid…
math.MG2013
Geometry of the Gromov product : Geometry at infinity of Teichmüller space
Hideki Miyachi
This paper is devoted to study of transformations on metric spaces. It is done in an effort to produce qualitative version of quasi-isometries which takes into account the asymptot…