On Two-Dimensional Polynomially Integrable Billiards on Surfaces of Constant Curvature
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DOI: 10.1134/s1064562418050253
Abstract: The algebraic version of the Birkhoff conjecture is solved completely for billiards with a piecewise C2-smooth boundary on surfaces of constant curvature: Euclidean plane, sphere, and Lobachevsky plane. Namely, we obtain a complete classification of… read more here.
Keywords: dimensional polynomially; two dimensional; surfaces constant; constant curvature ... See more keywords