Differential invariants for cubic integrals of geodesic flows on surfaces
classification
🧮 math.DG
math-phmath.MPnlin.SI
keywords
differentialgeodesicinvariantsadmitsbirkhoff-kolokoltsovcodifferentialconstructcubic
read the original 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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