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math.DG2020
Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups
Valera Berestovskii, Irina Zubareva
Abnormal extremals on four-dimensional connected Lie groups with left-invariant sub-Finsler quasimetric, defined by a seminorm on a two-dimensional subspace of the Lie algebra gene…
math.DG2020
Extremals of a left-invariant sub-Finsler quasimetric on the Cartan group
Valera Berestovskii, Irina Zubareva
Using the Pontryagin Maximum Principle for the time-optimal problem in coordinates of the first kind, we find extremals of abitrary left-invariant sub-Finsler quasimetric on the Ca…
math.DG2020
Extremals of a left-invariant sub-Finsler metric on the Engel group
Valera Berestovskii, Irina Zubareva
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 Princi…