From Poisson geometry to Jacobi geometry and beyond KU Leuven
Poisson geometry is an active area with many applications. It is known that Poisson, contact and lcs geometries have a common extension: Jacobi geometry. It is the geometry of Jacobi structures: Lie brackets on sections of a line bundle that are 1st order bidifferential operators (DOs). Although its feature, Jacobi geometry is far less studied than Poisson geometry. The project aims at studying Jacobi structures with tools from Poisson ...