Some remarks concerning Nambu mechanics

✍ Scribed by Philippe Gautheron

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 538 KB
• Volume: 37
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00400143

✦ Synopsis

The structure of Nambu-Poisson brackets is studied and we establish that any Nambu tensor is decomposable. We show that every Narnbu-Poisson manifold admits a local foliation by canonical Nambu-Poisson manifolds. Finally, a cohomology for Nambu (Lie) algebras which is adapted to the study of formal deformations of Nambu structures is introduced.