4 papers · 1 filter
The horocyclic metric on Teichm{ü}ller spaces
Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos
In his paper Minimal stretch maps between hyperbolic surfaces, William Thurston defined a norm on the tangent space to Teichm{ü}ller space of a hyperbolic surface, which he called…
The earthquake metric on Teichm{ü}ller space
Yi Huang, Ken'ichi Ohshika, Huiping Pan +1
This is the first paper to systematically study the earthquake metric, an asymmetric Finsler metric on Teichm{ü}ller space introduced by Thurston. We provide proofs for several ass…
Geometry on surfaces, a source for mathematical developments
Norbert A'Campo, Athanase Papadopoulos
We present a variety of geometrical and combinatorial tools that are used in the study of geometric structures on surfaces: volume, contact, symplectic, complex and almost complex…
Some footnotes on Thurston's Notes ''The Geometry and Topology of 3-manifolds''
Athanase Papadopoulos
These are a few historical remarks, addenda and references with comments on some topics discussed by Thurston in his notes ''The geometry and topology of three-manifolds''. The top…