On the volume of a hyperbolic and spherical tetrahedron

Jun Murakami, Masakazu Yano

    Research output: Contribution to journalArticle

    38 Citations (Scopus)

    Abstract

    A new formula for the volume of a hyperbolic and spherical tetrahedron is obtained from the quantum 6j-symbol. This formula is of symmetric form with respect to the symmetry of the tetrahedron.

    Original languageEnglish
    Pages (from-to)379-400
    Number of pages22
    JournalCommunications in Analysis and Geometry
    Volume13
    Issue number2
    Publication statusPublished - 2005

    Fingerprint

    Triangular pyramid
    Symmetry
    Symbol
    Form

    ASJC Scopus subject areas

    • Mathematics(all)
    • Geometry and Topology

    Cite this

    On the volume of a hyperbolic and spherical tetrahedron. / Murakami, Jun; Yano, Masakazu.

    In: Communications in Analysis and Geometry, Vol. 13, No. 2, 2005, p. 379-400.

    Research output: Contribution to journalArticle

    @article{0a686364f85f4590af850e6a2acdc3ff,
    title = "On the volume of a hyperbolic and spherical tetrahedron",
    abstract = "A new formula for the volume of a hyperbolic and spherical tetrahedron is obtained from the quantum 6j-symbol. This formula is of symmetric form with respect to the symmetry of the tetrahedron.",
    author = "Jun Murakami and Masakazu Yano",
    year = "2005",
    language = "English",
    volume = "13",
    pages = "379--400",
    journal = "Communications in Analysis and Geometry",
    issn = "1019-8385",
    publisher = "International Press of Boston, Inc.",
    number = "2",

    }

    TY - JOUR

    T1 - On the volume of a hyperbolic and spherical tetrahedron

    AU - Murakami, Jun

    AU - Yano, Masakazu

    PY - 2005

    Y1 - 2005

    N2 - A new formula for the volume of a hyperbolic and spherical tetrahedron is obtained from the quantum 6j-symbol. This formula is of symmetric form with respect to the symmetry of the tetrahedron.

    AB - A new formula for the volume of a hyperbolic and spherical tetrahedron is obtained from the quantum 6j-symbol. This formula is of symmetric form with respect to the symmetry of the tetrahedron.

    UR - http://www.scopus.com/inward/record.url?scp=33750435587&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=33750435587&partnerID=8YFLogxK

    M3 - Article

    VL - 13

    SP - 379

    EP - 400

    JO - Communications in Analysis and Geometry

    JF - Communications in Analysis and Geometry

    SN - 1019-8385

    IS - 2

    ER -