The Conformal Geometry of Billiards
نویسنده
چکیده
This article provides an introduction to some recent results in billiard dynamics. We present results that follow from a study of compact Riemann surfaces (equipped with a holomorphic 1-form) and an SL2R action on the moduli spaces of these surfaces. We concentrate on the progress toward classification of “optimal” billiard tables, those with the simplest trajectory structure.
منابع مشابه
The Conformal Geometry of Billiards
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