Differential invariants for cubic integrals of geodesic flows on surfaces
Differential Geometry
2013-01-22 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We construct differential invariants that vanish if and only if the geodesic flow of a 2-dimensional metric admits an integral of 3rd degree in momenta with a given Birkhoff-Kolokoltsov 3-codifferential.
Keywords
Cite
@article{arxiv.0909.3398,
title = {Differential invariants for cubic integrals of geodesic flows on surfaces},
author = {Vladimir S. Matveev and Vsevolod V. Shevchishin},
journal= {arXiv preprint arXiv:0909.3398},
year = {2013}
}
Comments
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