14 citations · 39 across the 30 of their papers we have counts for
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Thurston's metric on Teichmüller space and isomorphisms between Fuchsian groups
Athanase Papadopoulos, Weixu Su
The aim of this paper is to relate Thurston's metric on Teichmüller space to several ideas initiated by T. Sorvali on isomorphisms between Fuchsian groups. In particular, this will…
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…
The Funk and Hilbert geometries for spaces of constant curvature
Athanase Papadopoulos, Sumio Yamada
The goal of this paper is to introduce and study analogues of the Euclidean Funk and Hilbert metrics on open convex subsets of hyperbolic or spherical spaces. At least at a for…
A Remark on the Projective Geometry of Constant Curvature Spaces
Athanase Papadopoulos, Sumio Yamada
We highlight the relation between the projective geometries of -dimensional Euclidean, spherical and hyperbolic spaces through the projective models of these spaces in the …