Journal
JOURNAL OF GEOMETRY AND PHYSICS
Volume 60, Issue 6-8, Pages 833-856Publisher
ELSEVIER
DOI: 10.1016/j.geomphys.2010.02.002
Keywords
Polynomially integrable geodesic flows on surfaces; Solvability of PDE; Prolongation-projection method
Categories
Funding
- Deutsche Forschungsgemeinschaft [1154]
- FSU
- DFG [SPP 1154, GK 1523]
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We construct differential invariants that vanish if and only if the geodesic flow of a two-dimensional metric admits an integral of third degree in momenta with a given Birkhoff-Kolokoltsov 3-codifferential. (C) 2010 Elsevier B.V. All rights reserved.
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