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
Revision as of 10:50, 8 September 2015 by Verbovet (talk | contribs) (Created page with "{{MeetingTalk | speaker = Maciej Dunajski | title = First integrals of affine connections and Hamiltonian systems of hydrodynamic type | abstract = We find necessary and suffi...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to 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)

Retrieved from "https://gdeq.org/index.php?title=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)&oldid=3149"