Shapes of stars

研究成果: Article

10 引用 (Scopus)

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.

元の言語English
ページ(範囲)845-851
ページ数7
ジャーナルProceedings of the American Mathematical Society
117
発行部数3
DOI
出版物ステータスPublished - 1993 1 1
外部発表Yes

Fingerprint

Pentagon
Stars
Right angle
Star
Geometric Structure
Bundle
Angle
Hyperbolic Plane
Automorphism
Polygon
Fibers
Assignment
Fiber

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

これを引用

Shapes of stars. / Kojima, Sadayoshi.

:: Proceedings of the American Mathematical Society, 巻 117, 番号 3, 01.01.1993, p. 845-851.

研究成果: Article

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