4 citations · 4 across the 2 of their papers we have counts for
2 papers
math.DG2016
Algebraic non-integrability of magnetic billiards
Michael, Bialy, Andrey E. Mironov
We consider billiard ball motion in a convex domain of the Euclidean plane bounded by a piece-wise smooth curve influenced by the constant magnetic field. We show that if there exi…
math.DG2016★ 4 cited
Algebraic Birkhoff conjecture for billiards on Sphere and Hyperbolic plane
Michael, Bialy, Andrey E. Mironov
We consider a convex curve lying on the Sphere or Hyperbolic plane. We study the problem of existence of polynomial in velocities integrals for Birkhoff billiard inside the dom…