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Volume of a doubly truncated hyperbolic tetrahedron

Kolpakov, Alexander ; Murakami, Jun

In: Aequationes mathematicae, 2013, vol. 85, no. 3, p. 449-463

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    Titre
    • Volume of a doubly truncated hyperbolic tetrahedron
    Auteur
    • Kolpakov, Alexander. Department of Mathematics, University of Fribourg, chemin du Musée 23, 1700, Fribourg, Switzerland
    • Murakami, Jun. Department of Mathematics, Faculty of Science and Engineering, Waseda University, 3-4-1 Okubo Shinjuku-ku, 169-8555, Tokyo, Japan
    Type de document
    • Postprint
    Identifiant OAI-PMH
    • oai:doc.rero.ch:310644
    Summary
    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