32 citations · 162 across the 72 of their papers we have counts for
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math.GT2008★ 1 cited
Some metrics on Teichmüller spaces of surfaces of infinite type
Lixin Liu, Athanase Papadopoulos
Unlike the case of surfaces of topologically finite type, there are several different Teichmüller spaces that are associated to a surface of topological infinite type. These Teichm…
math.MG2008
Harmonic symmetrization of convex sets and of Finsler structures, with applications to Hilbert geometry
Athanase Papadopoulos, Marc Troyanov
David Hilbert discovered in 1895 an important metric that is canonically associated to any convex domain in the Euclidean (or projective) space. This metric is known to be Fins…
math.DG2008★ 32 cited
Weak Finsler Strutures and the Funk Metric
Athanase Papadopoulos, Marc Troyanov
We discuss general notions of metrics and of Finsler structures which we call weak metrics and weak Finsler structures. Any convex domain carries a canonical weak Finsler structure…