Volume of a doubly truncated hyperbolic tetrahedron

Alexander Kolpakov, Jun Murakami

    Research output: Contribution to journal › Article

    4 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)449-463
    Number of pages15
    JournalAequationes Mathematicae
    Volume85
    Issue number3
    DOIs
    Publication statusPublished - 2013 Jun

    Fingerprint

    Triangular pyramid
    Dilogarithm
    Numerics
    Express

    Keywords

    • Gram matrix
    • Hyperbolic tetrahedron
    • volume formula

    ASJC Scopus subject areas

    • Mathematics(all)
    • Applied Mathematics
    • Discrete Mathematics and Combinatorics

    Cite this

    Volume of a doubly truncated hyperbolic tetrahedron. / Kolpakov, Alexander; Murakami, Jun.

    In: Aequationes Mathematicae, Vol. 85, No. 3, 06.2013, p. 449-463.

    Research output: Contribution to journal › Article

    Kolpakov, A & Murakami, J 2013, 'Volume of a doubly truncated hyperbolic tetrahedron', Aequationes Mathematicae, vol. 85, no. 3, pp. 449-463. https://doi.org/10.1007/s00010-012-0153-y
    Kolpakov A, Murakami J. Volume of a doubly truncated hyperbolic tetrahedron. Aequationes Mathematicae. 2013 Jun;85(3):449-463. https://doi.org/10.1007/s00010-012-0153-y
    Kolpakov, Alexander ; Murakami, Jun. / Volume of a doubly truncated hyperbolic tetrahedron. In: Aequationes Mathematicae. 2013 ; Vol. 85, No. 3. pp. 449-463.
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