A Geometric Characterization of Certain First Integrals for Nonholonomic Systems with Symmetries

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2016
• ISSN: 1815-0659
• Main Authors: Balseiro, P., Sansonetto, N.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2016
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147431
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A Geometric Characterization of Certain First Integrals for Nonholonomic Systems with Symmetries / P. Balseiro, N. Sansonetto // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 35 назв. — англ.

We study the existence of first integrals in nonholonomic systems with symmetry. First we define the concept of M-cotangent lift of a vector field on a manifold Q in order to unify the works [Balseiro P., Arch. Ration. Mech. Anal. 214 (2014), 453-501, arXiv:1301.1091], [Fassò F., Ramos A., Sansonett...