%0 Journal Article %T Weak Minkowski Spaces %A Athanase Papadopoulos %A Marc Troyanov %J Mathematics %D 2013 %I arXiv %X 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 Funk and Hilbert geometries. %U http://arxiv.org/abs/1310.8398v1