This article is cited in 4 papers

Geometric-Dynamic Approach to Billiard Systems: II. Geometric Features of Involutions

S. V. Naydenov, V. V. Yanovskii

Institute for Single Crystals, National Academy of Sciences of Ukraine

Abstract: 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.

Received: 14.03.2001

DOI: 10.4213/tmf524

 English version: Theoretical and Mathematical Physics, 2001, 129:1, 1408–1420

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