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 |
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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月 |
外部発表 | はい |
ASJC Scopus subject areas
- 数学 (全般)
- 応用数学