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Volume of a doubly truncated hyperbolic tetrahedron

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An Erratum to this article was published on 07 January 2014

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.

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Authors and Affiliations

  1. Department of Mathematics, University of Fribourg, chemin du Musée 23, 1700, Fribourg, Switzerland

    Alexander Kolpakov

  2. Department of Mathematics, Faculty of Science and Engineering, Waseda University, 3-4-1 Okubo Shinjuku-ku, Tokyo, 169-8555, Japan

    Jun Murakami

Authors
  1. Alexander Kolpakov
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  2. Jun Murakami
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Corresponding author

Correspondence to Alexander Kolpakov.

Additional information

A. Kolpakov was supported by the Schweizerischer National fonds SNF no. 200021-131967/1.

J. Murakami was supported by Grant-in-Aid for Scientific Research no. 22540236.

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Kolpakov, A., Murakami, J. Volume of a doubly truncated hyperbolic tetrahedron. Aequat. Math. 85, 449–463 (2013). https://doi.org/10.1007/s00010-012-0153-y

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  • DOI: https://doi.org/10.1007/s00010-012-0153-y

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