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arXiv:0909.3398 [math.DG]AbstractReferencesReviewsResources

Differential invariants for cubic integrals of geodesic flows on surfaces

Vladimir S. Matveev, Vsevolod V. Shevchishin

Published 2009-09-18Version 1

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.

Comments: 36 pages, no pictures
Journal: J. Geom. Phys. Volume 60(2010) no. 6-8, 833-856
Categories: math.DG, math-ph, math.MP, nlin.SI
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