On the relation between exact QS-manifolds and odd Jacobi manifolds

TL;DR

This paper demonstrates how exact QS-manifolds, a generalization of exact Poisson manifolds, can be used to generate a family of odd Jacobi structures on the same supermanifold, revealing a new geometric relationship.

Contribution

It establishes a novel connection between exact QS-manifolds and odd Jacobi structures, expanding the understanding of their geometric interplay.

Findings

Exact QS-manifolds can be associated with odd Jacobi structures.

A family of odd Jacobi structures can be constructed from a given exact QS-manifold.

The work extends the geometric framework relating supermanifolds and Poisson/Jacobi structures.

Abstract

In this note we show that given an exact QS-manifold (a natural generalisation of an exact Poisson manifold) one can associate a family of odd Jacobi structures on the same underlying supermanifold.