Ideal cell-decompositions for a hyperbolic surface and Euler characteristic
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.45, sa.4, ss.965-976, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 45 Sayı: 4
- Basım Tarihi: 2008
- Doi Numarası: 10.4134/jkms.2008.45.4.965
- Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.965-976
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Hacettepe Üniversitesi Adresli: Hayır
Özet
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.