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math.DG2023
Fractional-linear integrals of geodesic flows on surfaces and Nakai's geodesic 4-webs
Sergey I. Agafonov, Thaís G. P. Alves
We prove that if the geodesic flow on a surface has an integral, fractional-linear in momenta, then the dimension of the space of such integrals is either 3 or 5, the latter case c…
math.DG2023
Hexagonal Circular 3-Webs with Reducible Polar Curves of Degree Three
Sergey I. Agafonov
The paper reports the progress with the classical problem, posed by Blaschke and Bol in 1938. We present new examples and new classifications of natural classes of hexagonal circul…