Jet bundles and geometric Noether theory

 Goal: Understand the basic theory of jet bundles and the geometric formulation of variational calculus and of the Noether theorems.

 Supervisor: Katarzyna Grabowska

 References:

 1. Saunders, The geometry of jet bundles.

 2. Vinigradov et al, Symmetries and Conservation Laws for Differential Equations of Mathematical Physics.

 3. Krupka, Introduction to Global Variational Geometry.

 4. Gelfand, Calculus of Variations

 5. Olver, Applications of Lie Groups to Differential Equations

You can find more references here.