Hyperbolic 2-spheres with cone singularities
We study the space C(a0,a1,…,an) of hyperbolic 2-spheres with cone points of prescribed apex curvatures 2a0,2a1,…,2an∈]0,2π[ and some related spaces. For n=3, we get a detailed description of such spaces. The euclidean 2-spheres were considered by W. P. Thurston: for n=4, the corresponding spaces pr...
Saved in:
Published in | Topology and its applications Vol. 272; p. 107073 |
---|---|
Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
01.03.2020
|
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | We study the space C(a0,a1,…,an) of hyperbolic 2-spheres with cone points of prescribed apex curvatures 2a0,2a1,…,2an∈]0,2π[ and some related spaces. For n=3, we get a detailed description of such spaces. The euclidean 2-spheres were considered by W. P. Thurston: for n=4, the corresponding spaces provide the famous 7 examples of nonarithmetic compact holomorphic 2-ball quotients previously constructed by Deligne-Mostow. |
---|---|
ISSN: | 0166-8641 1879-3207 |
DOI: | 10.1016/j.topol.2020.107073 |