Volume of a doubly truncated hyperbolic tetrahedron
Metric Geometry
2019-11-19 v8 Complex Variables
Differential Geometry
Abstract
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 express the volume in different geometric cases via dilogarithm functions and to treat properly the many analytic strata of the latter. Finally, several numeric examples are given.
Keywords
Cite
@article{arxiv.1203.1061,
title = {Volume of a doubly truncated hyperbolic tetrahedron},
author = {Alexander Kolpakov and Jun Murakami},
journal= {arXiv preprint arXiv:1203.1061},
year = {2019}
}
Comments
Several misprints in the proof of Theorem 1 corrected