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20162024
most citedIntegrable magnetic geodesic flows on 2-torus: new example via quasi-linear system of PDEs

16 citations · 20 across the 4 of their papers we have counts for

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math.DS2024★ 1 cited

Local high-degree polynomial integrals of geodesic flows and the generalized hodograph method

Sergei Agapov

We study Riemannian metrics on 2-surfaces with integrable geodesic flows such that an additional first integral is high-degree polynomial in momenta. This problem reduces to search…