A metric characterization of Carnot groups
classification
🧮 math.MG
keywords
carnotgroupsspacesadmitaxiomaticcharacterizationdescribeddilations
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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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