Hyperbolic Billiards on Surfaces of Constant Curvature
- 109 Downloads
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.
KeywordsLarge Classis Lyapunov Exponent Constant Curvature Hyperbolic Plane Positive Lyapunov Exponent
Unable to display preview. Download preview PDF.