Triangulations and quadrangulations of the sphere
INTERNATIONAL JOURNAL OF MATHEMATICS, vol.26, no.8, 2015 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 26 Issue: 8
- Publication Date: 2015
- Doi Number: 10.1142/s0129167x15500639
- Journal Name: INTERNATIONAL JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Galatasaray University Affiliated: No
Abstract
Thurston proved that the space of non-negatively curved triangulations of the 2-sphere can be parametrized by a quotient of a lattice by a group. We prove his result by a new method. Also we prove similar results for some different families of triangulations and quadrangulations of the 2-sphere.