The volume of a trirectangular hyperbolic tetrahedron

Authors

  • Николай Владимирович Sobolev Institute of Mathematics
  • Stepan Stepanishchev Novosibirsk State University

Keywords:

hyperbolic volume, normalized volume, Poincar ́e upper half-space model, hyperbolic tetrahedron, infinite cone

Abstract

We consider a three-parameter family of tetrahedra in the hyperbolic space, which three edges at one vertex are pairwise orthogonal. It is convenient to determine such tetrahedra by the lengths of these edges. We obtain relatively simple formulas for them expressing the volume and the surface area. This allows us to find normalized volume and investigate its asymptotics.

Published

2024-01-28

Issue

Vol. 20 No. 1 (2023): Том 20, №1, 2023

Section

Geometry and Topology

Most read articles by the same author(s)