Singular sets and parameters of generalized triangle orbifolds
度量几何
2016-10-20 v4 几何拓扑
摘要
We study groups generated by three half-turns in the Lobachevsky -space and their quotient orbifolds. These generalized triangle groups are closely related to the arbitrary 2-generator Kleinian groups. Our main result is a classification of the singular sets of the generalized triangle orbifolds. We also present a method to obtain the parameters defining a generalized triangle group from the structure of the singular set of its quotient orbifold and illustrate it by examples.
引用
@article{arxiv.math/0103015,
title = {Singular sets and parameters of generalized triangle orbifolds},
author = {Mikhail Belolipetsky},
journal= {arXiv preprint arXiv:math/0103015},
year = {2016}
}
备注
v4: 20 pages, many figures; the mathematical part is unchanged from 2002, the text is revised to improve readability