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June 2009 Circular billiards and parallel axiom in convex billiards
Nobuhiro Innami, Shinetsu Tamura
Tsukuba J. Math. 33(1): 147-160 (June 2009). DOI: 10.21099/tkbjm/1251833211

Abstract

Circles will be characterized by some properties of billiard ball trajectories. The theory of parallels and the parallel axiom play important roles in the geometry of the configuration space. Those characterizations are concerned with Bialy's theorem which is a partial answer to Birkhoff's conjecture.

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Nobuhiro Innami. Shinetsu Tamura. "Circular billiards and parallel axiom in convex billiards." Tsukuba J. Math. 33 (1) 147 - 160, June 2009. https://doi.org/10.21099/tkbjm/1251833211

Information

Published: June 2009
First available in Project Euclid: 1 September 2009

zbMATH: 1181.37054
MathSciNet: MR2553842
Digital Object Identifier: 10.21099/tkbjm/1251833211

Rights: Copyright © 2009 University of Tsukuba, Institute of Mathematics

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Vol.33 • No. 1 • June 2009
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