Variational problems on Lie algebroids
β Scribed by D.J. Saunders; M. Crampin
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 76 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0926-2245
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π SIMILAR VOLUMES
As a continuation of previous papers, we study the concept of a Lie algebroid structure on an affine bundle by means of the canonical immersion of the affine bundle into its bidual. We pay particular attention to the prolongation and various lifting procedures, and to the geometrical construction of
The inverse problem of Lagrangian dynamics is solved for the geodesic spray associated to the canonical symmetric linear connection on a Lie group of dimension three or less. The degree of generality is obtained in each case and concrete Lagrangians are written down.