Volume of a doubly truncated hyperbolic tetrahedron

Details Volume of a doubly truncated hyperbolic tetrahedron Volume of a doubly truncated hyperbolic tetrahedron

2012-03-05

arxiv.org/abs/1203.1061v3

Mathematics

Metric Geometry

17 pages, 3 figures, 1 table

Scientific paper

The present paper regards the volume function of a doubly truncated hyperbolic tetrahedron. Starting from the previous results of J. Murakami, U. Yano and A. Ushijima, we have developed a unified approach to expressing 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.

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