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math.DS2012★ 1 cited
On Totally integrable magnetic billiards on constant curvature surface
Michael, Bialy
We consider billiard ball motion in a convex domain of a constant curvature surface influenced by the constant magnetic field. We prove that if the billiard map is totally integrab…
math.DG2012★ 3 cited
Hopf rigidity for convex billiards on the hemisphere and hyperbolic plane
Michael, Bialy
This paper deals with Hopf type rigidity for convex billiards on surfaces of constant curvature. We prove that the only convex billiard without conjugate points on the Hyperbolic p…
math.AP2012
Smooth solutions for a -system of mixed type
Michael, Bialy
In this note we analyze smooth solutions of a -system of the \textit{mixed} type. Motivating example for this is a 2-components reduction of the Benney moments chain which appea…