paper

Hyperbolic Billiards on Surfaces of Constant Curvature

arXiv:chao-dyn/9905030 · doi:10.1007/s002200050748

Abstract

We establish sufficient conditions for the hyperbolicity of the billiard dynamics on surfaces of constant curvature. This extends known results for planar billiards. Using these conditions, we construct large classes of billiard tables with positive Lyapunov exponents on the sphere and on the hyperbolic plane.

28 pages, 14 postscript figures

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