Hideki Miyachi

activity

20182023

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3 papers · 1 filter

math.GT2023

On the Teichm{ü}ller space of acute triangles

Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos

We continue the study of the analogue of Thurston's metric on the Teichm{ü}ller space of Euclidean triangle which was started by Saglam and Papadopoulos in [1].By direct calculatio…

math.GT2020

Universal commensurability augmented Teichmüller space and moduli space

Guangming Hu, Hideki Miyachi, Yi Qi

It is known that every finitely unbranched covering $α : S_{g (α)} \to S$ of a compact Riemann surface $S$ with genus $g \geq 2$ induces an isometric embedding $Γ_{α}$ …

math.GT2018

Convergence of Teichmüller deformations in the universal Teichmüller space

Hideki Miyachi, Dragomir Šarić

Let $φ : D \to C$ be an integrable holomorphic function on the unit disk $D$ and $D_{φ} : D \to T (D)$ the Teichmüller disk in the universal Teic…