Dunajski M. First integrals of affine connections and Hamiltonian systems of hydrodynamic type, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract)

From Geometry of Differential Equations
Jump to: navigation, search

Speaker: Maciej Dunajski

Title: First integrals of affine connections and Hamiltonian systems of hydrodynamic type

Abstract:
We find necessary and sufficient conditions for a local geodesic flow of an affine connection on a surface to admit a linear first integral. We use this result to construct explicit obstructions to the existence of a Hamiltonian formulation of Dubrovin-Novikov type for a given one-dimensional system of hydrodynamic type. (Joint with Felipe Contatto)

Slides: Dunajski M. First integrals of affine connections and Hamiltonian systems of hydrodynamic type (presentation at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic).pdf