 99236 Nandor Simanyi
 The Complete Hyperbolicity of Cylindric Billiards
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Jun 18, 99

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Abstract. The connected configuration space of a so called cylindric
billiard system is a flat torus minus finitely many spherical
cylinders. The dynamical system describes the uniform motion of a point
particle in this configuration space with specular reflections at the
boundaries of the removed cylinders. It is proven here that under a
certain geometric condition  slightly stronger than the necessary
condition presented in [SSz(1998)]  a cylindric billiard flow is
completely hyperbolic. As a consequence, every hard ball system is completely
hyperbolic  a result strengthening the theorem of [SSz(1999)].
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