Nonholonomic left and right flows on Lie groups

Authors
Jovanovic, B
Citation
B. Jovanovic, Nonholonomic left and right flows on Lie groups, J PHYS A, 32(47), 1999, pp. 8293-8302
Citations number
16
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
32
Issue
47
Year of publication
1999
Pages
8293 - 8302
Database
ISI
SICI code
0305-4470(19991126)32:47<8293:NLARFO>2.0.ZU;2-2
Abstract
Nonholonomic systems on Lie groups with a left-invariant Lagrangian and a r ight-invariant nonintegrable distribution are studied. A method for constru ction of the first integrals is given. It is applied to three-dimensional L ie groups and to the four-dimensional nonholonomic rigid body motion. New i ntegrable problems with an invariant measure are obtained.