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ID 49105
フルテキストURL
著者
Kanesaka, Naomi Department of Mathematics, Faculty of Science, Okayama University
Nakamura, Hiroaki Department of Mathematics, Faculty of Science, Okayama University
抄録
A θ-acute triangle is a Euclidean triangle on the plane whose three angles are less than a given constant θ. In this note, we shall give an explicit formula computing the hyperbolic area A(θ) of the moduli region of θ-acute triangles on the Poincar´e disk. It turns out that A(θ) is a period in the sense of Kontsevich-Zagier if cot θ is a nonnegative algebraic number.
キーワード
moduli space
Euclidean triangle
hyperbolic measure
発行日
2013-01
出版物タイトル
Mathematical Journal of Okayama University
55巻
1号
出版者
Department of Mathematics, Faculty of Science, Okayama University
開始ページ
191
終了ページ
200
ISSN
0030-1566
NCID
AA00723502
資料タイプ
学術雑誌論文
言語
English
著作権者
Copyright©2013 by the Editorial Board of Mathematical Journal of Okayama University
論文のバージョン
publisher
査読
有り
Submission Path
mjou/vol55/iss1/10
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