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math.DG2013
Funk and Hilbert geometries from the Finslerian Viewpoint
Marc Troyanov
In 1929, Paul Funk and Ludwig Berwald gave a characterization of Hilbert geometries from the Finslerian viewpoint. They showed that a smooth Finsler metric in a convex bounded doma…
math.DG2013
Weak Minkowski Spaces
Athanase Papadopoulos, Marc Troyanov
We define the notion of weak Minkowski metric and prove some basic properties of such metrics. We also highlight some of the important analogies between Minkowski geometry and the…