An independence theorem for Lagrangian systems on graded manifolds

✍ Scribed by Andrea Barducci; Riccardo Giachetti; Emanuele Sorace

• Publisher: Springer
• Year: 1984
• Tongue: English
• Weight: 162 KB
• Volume: 8
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00406392

✦ Synopsis

Given a Lagrangian system on a graded manifold, we prove that the invariance of the action under independent reparametrizations of two subsystems implies the dynamical independence of those subsystems.

We consider a Lagrangian system on a graded manifold of dimension (m, n) described, in local