32 citations · 162 across the 72 of their papers we have counts for
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math.MG2014★ 2 cited
On hyperbolic analogues of some classical theorems in spherical geometry
Athanase Papadopoulos, Weixu Su
We provide hyperbolic analogues of some classical theorems in spherical geometry due to Menelaus, Euler, Lexell, Ceva and Lambert. Some of the spherical results are also made more…
math.MG2014★ 2 cited
On Klein's So-called Non-Euclidean geometry
Norbert A'Campo, Athanase Papadopoulos
In two papers titled "On the so-called non-Euclidean geometry", I and II, Felix Klein proposed a construction of the spaces of constant curvature -1, 0 and and 1 (that is, hyperbol…
math.MG2014
From Funk to Hilbert Geometry
Athanase Papadopoulos, Marc Troyanov
We survey some basic geometric properties of the Funk metric of a convex set in . In particular, we study its geodesics, its topology, its metric balls, its convexity…