(Locally) shortest arcs of a special sub-Riemannian metric on the Lie group $\mathrm {SO}

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(Locally) shortest arcs of a special sub-Riemannian metric on the Lie group $\mathrm {SO}_0(2,1)$

Published:2015-12-07 Issue:1 Volume:27 Page:1-14
ISSN:1061-0022
Container-title:St. Petersburg Mathematical Journal
language:en
Short-container-title:St. Petersburg Math. J.

Author:

Berestovskiĭ V. N.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Geodesics and Shortest Arcs of Some Sub-Riemannian Metrics on the Lie Groups $ \operatorname{SU}(1,1)\times $ and $ \operatorname{SO}_{0}(2,1)\times $ with Three-Dimensional Generating Distributions;Siberian Mathematical Journal;2024-03

2. Homogeneous geodesics in sub-Riemannian geometry;ESAIM: Control, Optimisation and Calculus of Variations;2023

3. Left-invariant optimal control problems on Lie groups: classification and problems integrable by elementary functions;Russian Mathematical Surveys;2022-02-01

4. Левоинвариантные задачи оптимального управления на группах Ли: классификации и задачи, интегрируемые в элементарных функциях;Uspekhi Matematicheskikh Nauk;2022

5. Homogeneous Sub-Riemannian Geodesics on a Group of Motions of the Plane;Differential Equations;2021-11

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