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 language | English |
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Pages (from-to) | 449-463 |
Number of pages | 15 |
Journal | Aequationes Mathematicae |
Volume | 85 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2013 Jun |
Keywords
- Gram matrix
- Hyperbolic tetrahedron
- volume formula
ASJC Scopus subject areas
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Applied Mathematics