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- W2897780226 abstract "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 Carnot group, which we metrize considering the $ell_infty$ norm on its first layer. We adopt the point of view of time-optimal control theory. We characterize extremal curves via Pontryagin maximum principle. We describe abnormal and singular arcs, and construct the bang-bang flow." @default.
- W2897780226 created "2018-10-26" @default.
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- W2897780226 date "2018-10-09" @default.
- W2897780226 modified "2023-09-27" @default.
- W2897780226 title "A sub-Finsler problem on the Cartan group" @default.
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- W2897780226 doi "https://doi.org/10.48550/arxiv.1810.03869" @default.
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