Ideal cell-decompositions for a hyperbolic surface and Euler characteristic

Creative Commons License

Sozen Y.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.45, sa.4, ss.965-976, 2008 (SCI-Expanded) identifier identifier

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.