A metric characterization of Carnot groups

Published 28 Apr 2013 in math.MG | (1304.7493v2)

Abstract: We give a short axiomatic introduction to Carnot groups and their subRiemannian and subFinsler geometry. We explain how such spaces can be metrically described as exactly those proper geodesic spaces that admit dilations and are isometrically homogeneous.

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Authors (1)

Enrico Le Donne

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