We consider a convex curve *\gamma* lying on the Sphere or Hyperbolic plane. We study the problem of existence of polynomial in velocities integrals for Birkhoff billiard inside the domain bounded by *\gamma*. We extend the result by S. Bolotin (1992) and get new obstructions on polynomial integrability in terms... Show more

February 18, 2016

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Algebraic Birkhoff conjecture for billiards on Sphere and Hyperbolic plane

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