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Geometry of geodesics for convex billiards and circular billiards
Geometry of geodesics for convex billiards and circular billiards
Innami, Nobuhiro
7409
In the present paper circles and ellipses will be characterized by some properties of billiard ball trajectories. Those properties will be discussed in connection with the characterization of flat metrics on tori by some families of geodesics and tori of revolution. The main method is the geometry of geodesics due to H. Busemann which was reconstructed in the configuration space by V. Bangert. In particular, the theory of parallels plays an important role in the present paper.
journal article
新潟大学
2002
application/pdf
Nihonkai Mathematical Journal
1
13
73
120
Nihonkai Mathematical Journal
AA10800960
13419951
https://niigata-u.repo.nii.ac.jp/record/2183/files/5_0013.pdf
eng