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nlin.SI2022★ 1 cited
Integrable systems on the sphere, ellipsoid and hyperboloid
A. V. Tsiganov
Affine transformations in Euclidean space generates a correspondence between integrable systems on cotangent bundles to the sphere, ellipsoid and hyperboloid embedded in . Usi…
nlin.SI2022
Equivalent Integrable Metrics on the Sphere with Quartic Invariants
Andrey V. Tsiganov
We discuss canonical transformations relating well-known geodesic flows on the cotangent bundle of the sphere with a set of geodesic flows with quartic invariants. By adding variou…