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math.DG2009
Rich quasi-linear system for integrable geodesic flows on 2-torus
Misha Bialy, Andrey E. Mironov
Consider a Riemannian metric on two-torus. We prove that the question of existence of polynomial first integrals leads naturally to a remarkable system of quasi-linear equations wh…
math.DS2009
Integrable geodesic flows on surfaces
Misha Bialy
We propose a new condition which enables to get new results on integrable geodesic flows on closed surfaces. This paper has two parts. In the first, we strengthen Kozlov's…