Equivalent Integrable Metrics on the Sphere with Quartic Invariants

Published 24 Jan 2022 in nlin.SI, math-ph, math.DS, and math.MP | (2201.09576v4)

Abstract: 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 various potentials to the corresponding geodesic Hamiltonians, we can construct new integrable systems on the sphere with quartic invariants.

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Authors (1)

Andrey V. Tsiganov

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