Edge matrix of hyperbolic simplices

Karliga B.

GEOMETRIAE DEDICATA, cilt.109, sa.1, ss.1-6, 2004 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 109 Sayı: 1
  • Basım Tarihi: 2004
  • Doi Numarası: 10.1007/s10711-004-8882-2
  • Dergi Adı: GEOMETRIAE DEDICATA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-6
  • Anahtar Kelimeler: edge matrix, simplices, hyperbolic, edge length
  • Gazi Üniversitesi Adresli: Hayır

Özet

In this paper, by using the dual problem which was solved by Feng Luo (Geom. Dedicata 64 (1997), 277-282) and a new method, we give necessary and sufficient conditions for given (n(n + 1))/2 positive real numbers to be the edge lengths of a hyperbolic n-simplex. By using determinants, we also give necessary and sufficient conditions for given (n(n + 1))/2 positive real numbers to be the edge lengths of a spherical n-simplex.