论文标题
恩格尔集团上的剩余不变的子罚款指标的极端
Extremals of a left-invariant sub-Finsler metric on the Engel group
论文作者
论文摘要
作者发现，恩格尔集团对任意左行的次数子罚款指标的极端属于第二等级的分布。他们将其用于第一类坐标中相应的时间优势问题的Pontryagin最大原理。获得的结果适用于具有相同分布的剩余不变的亚riemannian度量的情况。
The authors found extremals of arbitrary left-invariant sub-Finsler metric on the Engel group defined by a distribution of rank two. They use for this the Pontryagin Maximum Principle for the corresponding time-optimal problem in coordinates of the first kind. The obtained results are applied to the case of left-invariant sub-Riemannian metric with the same distribution.
