2011/09/01 by Constantin Vernicos, Vernicos, Constantin
Mathematics · #53C24 #53C60 #58B20 #Differential Geometry (math.DG) #FOS: Mathematics #Metric Geometry (math.MG) #math.DG #math.MG #msc:53C24 #msc:53C60 #msc:58B20
paper · pdf · doi:10.48550/arxiv.1109.0187
arxiv created 2011/09/01 · arxiv updated 2011/09/02
We prove that the Hilbert geometry of a product of convex sets is bi-lipschitz equivalent the direct product of their respective Hilbert geometries. We also prove that the volume entropy is additive with respect to product and that amenability of a product is equivalent to the amenability of each terms.