MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
Structures de Jacobi sur une variété des points proches
Basile Guy Richard Bossoto

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 $M^{A}$.

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

MSC: 58A20, 58A32, 11F50

Pages:  155--167     

Volume  62 ,  Issue  2 ,  2010