32 citations · 162 across the 72 of their papers we have counts for
40 papers · 1 filter
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…
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…
Ideal triangles, hyperbolic surfaces and the Thurston metric on Teichm{ü}ller space
Athanase Papadopoulos
These are notes on the hyperbolic geometry of surfaces, Teichm{ü}ller spaces and Thurston's metric on these spaces. They are associated with lectures I gave at the Morningside Cent…
A glimpse into Thurston's work
Ken'Ichi Ohshika, Athanase Papadopoulos
We present an overview of some significant results of Thurston and their impact on mathematics. The final version of this paper will appear as Chapter 1 of the book "In the traditi…
W. P. Thurston and French mathematics
François Laudenbach, Athanase Papadopoulos
We give a general overview of the influence of William Thurston on the French mathematical school and we show how some of the major problems he solved are rooted in the French math…
Optimal Lipschitz Maps on One-holed Tori and the Thurston Metric Theory of Teichmueller Space
Yi Huang, Athanase Papadopoulos
We study Thurston's Lipschitz and curve metrics, as well as the arc metric on the Teichmueller space of one-hold tori equipped with complete hyperbolic metrics with boundary holono…