Hyperbolic Billiards on Surfaces of Constant Curvature
classification
chao-dyn
nlin.CD
keywords
billiardbilliardsconditionsconstantcurvaturehyperbolicsurfacesclasses
read the original 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.
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