31 citations · 43 across the 23 of their papers we have counts for
29 papers
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…
Thurston's broken windows only theorem revisited
Ken'ichi Ohshika
The'broken windows only theorem' is the main theorem of the third paper among a series of the paper in which Thurston proved his uniformisation theorem for Haken manifolds. In this…
The Teichm{ü}ller-Randers metric
Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos
In this paper, we introduce a new asymmetric weak metric on the Teichm{ü}ller space of a closed orientable surface with (possibly empty) punctures.This new metric, which we call th…
Thurston's Bounded image theorem
Cyril Lecuire, Ken'ichi Ohshika
Thurston's bounded image theorem is one of the key steps in his proof of the uniformisation theorem for Haken manifolds. Thurston never published its proof, and no proof has been k…
The infinitesimal and global Thurston geometry of Teichm{ü}ller space
Yi Huang, Ken'Ichi Ohshika, Athanase Papadopoulos
We undertake a systematic study of the infinitesimal geometry of the Thurston metric, showing that the topology, convex geometry and metric geometry of the tangent and cotangent sp…
Realisation of bending measured laminations by Kleinian surface groups
Shinpei Baba, Ken'ichi Ohshika
For geometrically finite Kleinian surface groups, Bonahon and Otal proved the existence part, and partly the uniqueness part of the bending lamination conjecture. In this paper, we…