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math.DG2018
Sub-Finsler geodesics on the Cartan group
A. Ardentov, E. Le Donne, Yu. Sachkov
This paper is a continuation of the work by the same authors on the Cartan group equipped with the sub-Finsler norm. We start by giving a detailed presentation of the…
math.DG2018
A sub-Finsler problem on the Cartan group
A. Ardentov, E. Le Donne, Yu. Sachkov
In this paper we study a sub-Finsler geometric problem on the free-nilpotent group of rank 2 and step 3. Such a group is also called Cartan group and has a natural structure of Car…