## Odd Jacobi manifolds: general theory and applications to generalised Lie algebroids.(English)Zbl 1267.53086

Summary: We define a Grassmann odd analogue of Jacobi structure on a supermanifold. The basic properties are explored. The construction of odd Jacobi manifolds is then used to reexamine the notion of a Jacobi algebroid. It is shown that Jacobi algebroids can be understood in terms of a kind of curved $$Q$$-manifold, which we will refer to as a quasi $$Q$$-manifold.

### MSC:

 53D17 Poisson manifolds; Poisson groupoids and algebroids 53D10 Contact manifolds (general theory) 17B70 Graded Lie (super)algebras

### Keywords:

supermanifolds; Jacobi structures; Lie algebroids
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