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Elementary formulas for a hyperbolic tetrahedron

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Abstract

We derive some elementary formulas expressing the relation between the dihedral angles and edge lengths of a tetrahedron in hyperbolic space.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    A. D. Mednykh

  2. Siberian State Transport University, Novosibirsk, Russia

    M. G. Pashkevich

Authors
  1. A. D. Mednykh
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  2. M. G. Pashkevich
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Additional information

Original Russian Text Copyright © 2006 Mednykh A. D. and Pashkevich M. G.

The authors were supported by the Russian Foundation for Basic Research (Grant 06-01-00153), the INTAS (Grant 03-51-3663), the Project Fondecyt (Grants 7050189 and 1060378), and the Grant-in-Aid 17-05045 of the Japan Society for the Promotion of Sciences.

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 47, No. 4, pp. 831–841, July–August, 2006.

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Mednykh, A.D., Pashkevich, M.G. Elementary formulas for a hyperbolic tetrahedron. Sib Math J 47, 687–695 (2006). https://doi.org/10.1007/s11202-006-0079-5

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  • DOI: https://doi.org/10.1007/s11202-006-0079-5

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