Geometric-Dynamic Approach to Billiard Systems: II.~Geometric Features of Involutions
Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 1, pp. 116-130

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The following geometric features of billiard involutions are established and investigated: covariance, transformations related to reflections of billiard rays, types of symmetries, and the character of monotonicity and differentiability.
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S. V. Naydenov; V. V. Yanovskii. Geometric-Dynamic Approach to Billiard Systems: II.~Geometric Features of Involutions. Teoretičeskaâ i matematičeskaâ fizika, Tome 129 (2001) no. 1, pp. 116-130. http://geodesic.mathdoc.fr/item/TMF_2001_129_1_a10/