Abstract

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

Keywords: Infinitely near point; local algebra, Lie-Rinehart algebra, Jacobi algebra.

MSC: 58A20, 58A32, 11F50

Pages:  155$-$167     

Volume  62 ,  Issue  2 ,  2010