Invariant nonholonomic Riemannian structures on three-dimensional Lie groups-Reference-Cited by-同舟云学术

Invariant nonholonomic Riemannian structures on three-dimensional Lie groups

Published:2016-06 Issue:2 Volume:8 Page:139-167
ISSN:1941-4889
Container-title:Journal of Geometric Mechanics
language:en
Short-container-title:JGM

Author:

Barrett Dennis I.,Biggs Rory,Remsing Claudiu C.,Rossi Olga

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Control and Optimization,Geometry and Topology,Mechanics of Materials

Reference37 articles.

1. Sub-Riemannian structures on 3D Lie groups,;A. Agrachev;J. Dyn. Control Syst.,2012

2. Nonholonomic Mechanics and Control,;A. Bloch;Springer,2003

3. On the geometric representation of nonholonomic mechanical systems (in French),;E. Cartan;in Proceedings of the International Congress of Mathematicians,1928

4. Symmetries and currents in nonholonomic mechanics,;M. Čech;Commun. Math.,2014

5. On the theory of motion of nonholonomic systems. The theorem of the Reducing Multiplier (in Russian),;S. Chaplygin;Math. Sbornik,1911

Cited by 8 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. Non-holonomic equations for the normal extremals in geometric control theory;Journal of Geometry and Physics;2022-01

2. On the Schouten and Wagner curvature tensors;Rendiconti del Circolo Matematico di Palermo Series 2;2021-11-21

3. Restricted Jacobi Fields;International Electronic Journal of Geometry;2021-07-25

4. Classification of left invariant metrics on 4-dimensional solvable Lie groups;Theoretical and Applied Mechanics;2020

5. A Note about Integrable Systems on Low-dimensional Lie Groups and Lie Algebras;Regular and Chaotic Dynamics;2019-05