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, vol.12, no.1, pp.135-143, 2019 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 1
  • Publication Date: 2019
  • Journal Name: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Journal Indexes: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Page Numbers: pp.135-143
  • Keywords: Spacelike line congruence, Hamilton and Mannhiem formulae, Plucker conoid
  • Istanbul University Affiliated: Yes

Abstract

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.