Structures de Jacobi sur une variété des points proches

Abstract

We consider a local algebra $A$ (in the sense of AndréWeil), a smooth paracompact manifold $M$ and the manifold $M^{A}$ ofinfinitely near points on $M$ of kind $A$. In this paper, we define and studythe notions of $A$-Jacobi structures on $M^{A}$.