Ideal cell-decompositions for a hyperbolic surface and Euler characteristic
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol.45, no.4, pp.965-976, 2008 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 45 Issue: 4
- Publication Date: 2008
- Doi Number: 10.4134/jkms.2008.45.4.965
- Journal Name: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.965-976
- Open Archive Collection: AVESIS Open Access Collection
- Hacettepe University Affiliated: No
Abstract
In this article, we constructively prove that on a surface S with genus g >= 2, there exit maximal geodesic laminations with 7g - 7,...,9g - 9 leaves. Thus, S can have ideal cell- decompositions (i.e., S can be (ideally) triangulated by maximal geodesic laminations) with 7g - 7,...,9g - 9 (ideal) 1-cells.