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