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Geometry of geodesics for convex billiards and circular billiards
http://hdl.handle.net/10191/5665
http://hdl.handle.net/10191/5665419ef032-d6e8-48fe-9f2f-670c6daa5fba
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
5_0013.pdf (5.4 MB)
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| Item type | 学術雑誌論文 / Journal Article(1) | |||||
|---|---|---|---|---|---|---|
| 公開日 | 2008-04-08 | |||||
| タイトル | ||||||
| タイトル | Geometry of geodesics for convex billiards and circular billiards | |||||
| タイトル | ||||||
| タイトル | Geometry of geodesics for convex billiards and circular billiards | |||||
| 言語 | en | |||||
| 言語 | ||||||
| 言語 | eng | |||||
| 資源タイプ | ||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||
| タイプ | journal article | |||||
| 著者 |
Innami, Nobuhiro
× Innami, Nobuhiro |
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| 抄録 | ||||||
| 内容記述タイプ | Abstract | |||||
| 内容記述 | 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. | |||||
| 書誌情報 |
Nihonkai Mathematical Journal en : Nihonkai Mathematical Journal 巻 13, 号 1, p. 73-120, 発行日 2002 |
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| 出版者 | ||||||
| 出版者 | 新潟大学 | |||||
| ISSN | ||||||
| 収録物識別子タイプ | ISSN | |||||
| 収録物識別子 | 13419951 | |||||
| 書誌レコードID | ||||||
| 収録物識別子タイプ | NCID | |||||
| 収録物識別子 | AA10800960 | |||||
| 著者版フラグ | ||||||
| 値 | publisher | |||||
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Cite as
Innami, Nobuhiro, 2002, Geometry of geodesics for convex billiards and circular billiards: 新潟大学, 73–120 p.
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