On a Spacelike Line Congruence Which Has the Parameter Ruled Surfaces as Principal Ruled Surfaces


Tas F., ABDEL-BAKY R. A.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.12, sa.1, ss.135-143, 2019 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 12 Sayı: 1
  • Basım Tarihi: 2019
  • Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.135-143
  • Anahtar Kelimeler: Spacelike line congruence, Hamilton and Mannhiem formulae, Plucker conoid
  • İstanbul Üniversitesi Adresli: Evet

Özet

In this paper, we define spacelike line congruence, which has the parameter ruled surfaces as principal ruled surfaces, on the dual unit hyperbolic sphere H-+(2) in the dual Lorentzian 3-space D-1(3). We carry the obtained results to the 3-dimensional Minkowski space E-1(3) by means of the E. Study's dual line coordinates.