Browsing Department of Materials Science and Metallurgy by Author "Contatto, F"
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First integrals of affine connections and Hamiltonian systems of hydrodynamic type
(Oxford University PressJournal of Integrable Systems, 2016-12-23)We find necessary and sufficient conditions for a local geodesic flow of an affine connection on a surface to admit a linear first integral. The conditions are expressed in terms of two scalar invariants of differential ...
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Manton's five vortex equations from self-duality
(Journal of Physics A: Mathematical and Theoretical, 2017-08-17)