Volume of a doubly truncated hyperbolic tetrahedron

Alexander Kolpakov; Jun Murakami

doi:10.1007/s00010-012-0153-y

Volume of a doubly truncated hyperbolic tetrahedron

Alexander Kolpakov^*, Jun Murakami

^*この研究の対応する著者

基幹理工学部

研究成果: Article › 査読

4 被引用数 (Scopus)

抄録

The present paper regards the volume function of a doubly truncated hyperbolic tetrahedron. Starting from the earlier results of J. Murakami, U. Yano and A. Ushijima, we have developed a unified approach to express the volume in different geometric cases by dilogarithm functions and to treat properly the many analytic strata of the latter. Finally, several numeric examples are given.

本文言語	English
ページ（範囲）	449-463
ページ数	15
ジャーナル	Aequationes Mathematicae
巻	85
号	3
DOI	https://doi.org/10.1007/s00010-012-0153-y
出版ステータス	Published - 2013 6月

ASJC Scopus subject areas

数学 (全般)
離散数学と組合せ数学
応用数学

文献へのアクセス

10.1007/s00010-012-0153-y

他のファイルとリンク

引用スタイル

@article{62d0c1d36e8a4997856490643b128c77,

title = "Volume of a doubly truncated hyperbolic tetrahedron",

abstract = "The present paper regards the volume function of a doubly truncated hyperbolic tetrahedron. Starting from the earlier results of J. Murakami, U. Yano and A. Ushijima, we have developed a unified approach to express the volume in different geometric cases by dilogarithm functions and to treat properly the many analytic strata of the latter. Finally, several numeric examples are given.",

keywords = "Gram matrix, Hyperbolic tetrahedron, volume formula",

author = "Alexander Kolpakov and Jun Murakami",

note = "Funding Information: A. Kolpakov was supported by the Schweizerischer National fonds SNF no. 200021-131967/1. J. Murakami was supported by Grant-in-Aid for Scientific Research no. 22540236.",

year = "2013",

month = jun,

doi = "10.1007/s00010-012-0153-y",

language = "English",

volume = "85",

pages = "449--463",

journal = "Aequationes Mathematicae",

issn = "0001-9054",

publisher = "Birkhauser Verlag Basel",

number = "3",

}

TY - JOUR

T1 - Volume of a doubly truncated hyperbolic tetrahedron

AU - Kolpakov, Alexander

AU - Murakami, Jun

N1 - Funding Information: A. Kolpakov was supported by the Schweizerischer National fonds SNF no. 200021-131967/1. J. Murakami was supported by Grant-in-Aid for Scientific Research no. 22540236.

PY - 2013/6

Y1 - 2013/6

N2 - The present paper regards the volume function of a doubly truncated hyperbolic tetrahedron. Starting from the earlier results of J. Murakami, U. Yano and A. Ushijima, we have developed a unified approach to express the volume in different geometric cases by dilogarithm functions and to treat properly the many analytic strata of the latter. Finally, several numeric examples are given.

AB - The present paper regards the volume function of a doubly truncated hyperbolic tetrahedron. Starting from the earlier results of J. Murakami, U. Yano and A. Ushijima, we have developed a unified approach to express the volume in different geometric cases by dilogarithm functions and to treat properly the many analytic strata of the latter. Finally, several numeric examples are given.

KW - Gram matrix

KW - Hyperbolic tetrahedron

KW - volume formula

UR - http://www.scopus.com/inward/record.url?scp=84878871399&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84878871399&partnerID=8YFLogxK

U2 - 10.1007/s00010-012-0153-y

DO - 10.1007/s00010-012-0153-y

M3 - Article

AN - SCOPUS:84878871399

VL - 85

SP - 449

EP - 463

JO - Aequationes Mathematicae

JF - Aequationes Mathematicae

SN - 0001-9054

IS - 3

ER -

Volume of a doubly truncated hyperbolic tetrahedron

抄録

ASJC Scopus subject areas

文献へのアクセス

他のファイルとリンク

フィンガープリント

引用スタイル