The Jacobi identities for finite-dimensional Poisson structures: a P.D.E. based analysis of some new constructive results and solution families 

Hernández Bermejo, Benito (Date of defense: 2008-04-17)

Jacobi equations constitute a set of nonlinear partial differential equations which arise from the implementation in an arbitrary system of coordinates of a Poisson structure defined on a finite-dimensional smooth manifold. ...