Variational connections on Lie groups

✍ Scribed by G. Thompson

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 129 KB
• Volume: 18
• Category: Article
• ISSN: 0926-2245
• DOI: 10.1016/s0926-2245(02)00161-4

✦ Synopsis

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.