Star calculus on Jacobi manifolds

✍ Scribed by J.V. Beltran

• Book ID: 104358148
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 158 KB
• Volume: 16
• Category: Article
• ISSN: 0926-2245
• DOI: 10.1016/s0926-2245(02)00059-1

✦ Synopsis

We study the Gerstenhaber bracket on differential forms induced by the two main examples of Jacobi manifolds: contact manifolds and l.c.s. manifolds. Moreover, we obtain explicit expressions of the generating operators and the derivations on the algebra of multivector fields. We define star operators for contact manifolds and l.c.s. manifolds and we study some of its properties.