Triangulations and quadrangulations of the sphere

Saglam I.

INTERNATIONAL JOURNAL OF MATHEMATICS, cilt.26, sa.8, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 26 Sayı: 8
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1142/s0129167x15500639
  • Dergi Adı: INTERNATIONAL JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Galatasaray Üniversitesi Adresli: Hayır

Özet

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.