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arXiv · 0909.3398

Differential invariants for cubic integrals of geodesic flows on surfaces

Vladimir S. Matveev·Vsevolod V. Shevchishin
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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.

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Vladimir S. Matveev, Vsevolod V. Shevchishin. 2009-09-18. Differential invariants for cubic integrals of geodesic flows on surfaces. https://doi.org/10.1016/j.geomphys.2010.02.002

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