抄録
In this paper we construct a natural geometric structure for the space of shapesof a star-shaped polygon. Roughly speaking we find: The set ofsimilarity classes of marked stars forms a hyperbolic right angle pentagon bundle over the space of external angle sets ofinscribed pentagons.The assignment of the shape of its fiber to each angle setforms a hyperbolic plane bundle over the Teichmiiller space of hyperbolic right angle pentagons. Any automorphism induced by renumbering is compatible with these geometric structures.
| 本文言語 | English |
|---|---|
| ページ（範囲） | 845-851 |
| ページ数 | 7 |
| ジャーナル | Proceedings of the American Mathematical Society |
| 巻 | 117 |
| 号 | 3 |
| DOI | |
| 出版ステータス | Published - 1993 3 |
| 外部発表 | はい |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics