Lie algebroid structures and Lagrangian systems on affine bundles

✍ Scribed by Eduardo Martı́nez; Tom Mestdag; Willy Sarlet

• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 198 KB
• Volume: 44
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(02)00114-6

✦ Synopsis

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 Lagrangian-type dynamics on an affine Lie algebroid.