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
|
巻 | 55巻
|
号 | 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 |
英語
|
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
|
JaLCDOI |