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): Difference between revisions
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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..." |
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| title = First integrals of affine connections and Hamiltonian systems of hydrodynamic type | | 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) | | 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 = | | slides = [[Media: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|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]] | ||
| references = | | references = | ||
| 79YY-MM-DD = 7984-89-81 | | 79YY-MM-DD = 7984-89-81 | ||
}} | }} | ||
Latest revision as of 16:45, 23 November 2015
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)