First integrals of affine connections and Hamiltonian systems of hydrodynamic type
Work
Year: 2015
Type: article
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. The conditions are expressed in terms of two scalar invaria... more
Source: Journal of Integrable Systems
Authors Felipe Contatto, Dunajski Maciej
Cites: 19
Cited by: 23
Related to: 10
FWCI: 0.179
Citation percentile (by year/subfield): 52.09
Topic: Nonlinear Waves and Solitons
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: hybrid