8 citations · 8 across the 4 of their papers we have counts for
5 papers
On Thurston's Stretch Lines in Teichmüller Space
Guillaume Théret
The Teichmüller space of a surface is equipped with Thurston's asymmetric metric. Stretch lines are oriented geodesics for this metric on . We…
Hyperbolic geometry in the work of Johann Heinrich Lambert
Athanase Papadopoulos, Guillaume Théret
The memoir Theorie der Parallellinien (1766) by Johann Heinrich Lambert is one of the founding texts of hyperbolic geometry, even though its author's aim was, like many of his pre-…
The space of measured foliations of the hexagon
Athanase Papadopoulos, Guillaume Théret
The theory of geometric structures on a surface with nonempty boundary can be developed by using a decomposition of such a surface into hexagons, in the same way as the theory of g…
Shortening all the simple closed geodesics on surfaces with boundary
Athanase Papadopoulos, Guillaume Théret
We give a proof of an unpublished result of Thurston showing that given any hyperbolic metric on a surface of finite type with nonempty boundary, there exists another hyperbolic me…
On length spectrum metrics and weak metrics on Teichmueller spaces of surfaces with boundary
Lixin Liu, Athanase Papadopoulos, Weixu Su +1
We define and study metrics and weak metrics on the Teichmueller space of a surface of topologically finite type with boundary. These metrics and weak metrics are associated to the…