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math.DG2018★ 14 cited
Algebraic non-integrability of magnetic billiards on the Sphere and Hyperbolic plane
Misha Bialy, Andrey E. Mironov
We consider billiard ball motion in a convex domain on a constant curvature surface influenced by the constant magnetic field. We examine the existence of integral of motion which…
math.DG2006
Orthogonal curvilinear coordinate systems corresponding to singular spectral curves
A. E. Mironov, I. A. Taimanov
We study the limiting case of the Krichever construction of orthogonal curvilinear coordinate systems when the spectral curve becomes singular. We show that the case when the curve…