Consortium of Swiss Academic Libraries

Erratum to: Volume of a doubly truncated hyperbolic tetrahedron

Kolpakov, Alexander ; Murakami, Jun

In: Aequationes mathematicae, 2014, vol. 88, no. 1-2, p. 199-200

Consortium of Swiss Academic Libraries

Volume of a doubly truncated hyperbolic tetrahedron

Kolpakov, Alexander ; Murakami, Jun

In: Aequationes mathematicae, 2013, vol. 85, no. 3, p. 449-463

Université de Fribourg

Volume of a doubly truncated hyperbolic tetrahedron

Kolpakov, Alexander ; Murakami, Jun

In: Aequationes mathematicae, 2013, vol. 85, no. 3, p. 449–463

he 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.