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ID 49105
FullText URL
Author
Kanesaka, Naomi
Abstract
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.
Keywords
moduli space
Euclidean triangle
hyperbolic measure
Published Date
2013-01
Publication Title
Mathematical Journal of Okayama University
Volume
volume55
Issue
issue1
Publisher
Department of Mathematics, Faculty of Science, Okayama University
Start Page
191
End Page
200
ISSN
0030-1566
NCID
AA00723502
Content Type
Journal Article
language
英語
Copyright Holders
Copyright©2013 by the Editorial Board of Mathematical Journal of Okayama University
File Version
publisher
Refereed
True
Submission Path
mjou/vol55/iss1/10
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