A Lie algebroid framework for non-holonomic systems
Abstract
In order to obtain a framework in which both non-holonomic mechanical systems and non-holonomic mechanical systems with symmetry can be described, we introduce in this paper the notion of a Lagrangian system on a subbundle of a Lie algebroid.
- Publication:
-
Journal of Physics A Mathematical General
- Pub Date:
- February 2005
- DOI:
- 10.1088/0305-4470/38/5/011
- arXiv:
- arXiv:math/0410460
- Bibcode:
- 2005JPhA...38.1097M
- Keywords:
-
- 17B66 53C05 70G45 70H03 70H05;
- Mathematics - Differential Geometry;
- Mathematical Physics;
- 17B66;
- 53C05;
- 70G45;
- 70H03;
- 70H05
- E-Print:
- 18 pages