Extremals of a left-invariant sub-Finsler quasimetric on the Cartan group

2020/06/06 by Berestovskii, Valera, И. А. Зубарева, Zubareva, Irina
Mathematics · Physics and Astronomy · #49J15 #49K15 #53C17 #Advanced Differential Geometry Research #Algebraic and Geometric Analysis #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2006.05317

openalex publication_date 2020/06/06 · openalex created_date 2020/06/19 · openalex updated_date 2026/07/28

Abstract

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 Cartan group defined by a distribution of rank two.

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