Room P3.10, Mathematics Building

Joana Nunes da Costa, Universidade de Coimbra
Jacobi manifolds and Lie algebroids

A Jacobi manifold is a differentiable manifold equipped with a bivector and a vector field verifying some compatibility conditions. When the vector field vanishes identically the Jacobi manifold is a Poisson manifold, but there are other significant examples of Jacobi structures that are not Poisson, such as contact manifolds. We will exhibit some relations between Jacobi structures and Lie algebroids.