FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2003, VOLUME 9, NUMBER 1, PAGES 263-275

Coxeter decompositions of hyperbolic tetrahedra

A. A. Felikson

Abstract

View as HTML     View as gif image

In this paper we classify all Coxeter decompositions of hyperbolic tetrahedra. Using this classification one can find all Coxeter subgroups of the group generated by reflections with respect to the faces of the tetrahedra. The indices of such subgroups easily follow from the classification also.

Location: http://mech.math.msu.su/~fpm/eng/k03/k031/k03117h.htm
Last modified: April 4, 2004.