Differential invariants for cubic integrals of geodesic flows on surfaces

Details Differential invariants for cubic integrals of geodesic flows on surfaces Differential invariants for cubic integrals of geodesic flows on surfaces

2009-09-18

arxiv.org/abs/0909.3398v1

J. Geom. Phys. Volume 60(2010) no. 6-8, 833-856

Mathematics

Differential Geometry

36 pages, no pictures

Scientific paper

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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