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math.MG2017★ 8 cited
From homogeneous metric spaces to Lie groups
Michael G. Cowling, Ville Kivioja, Enrico Le Donne +2
We study homogeneous metric spaces, by which we mean connected, locally compact metric spaces whose isometry group acts transitively. After a review of some classical results, we u…
math.MG2016
Isometries of nilpotent metric groups
Ville Kivioja, Enrico Le Donne
We consider Lie groups equipped with arbitrary distances. We only assume that the distance is left-invariant and induces the manifold topology. For brevity, we call such object met…