The Sub-Parabolic Lines in the Minkowski 3-Space


ÖZDEMİR M., Şimşek H.

RESULTS IN MATHEMATICS, vol.67, no.3-4, pp.417-430, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 67 Issue: 3-4
  • Publication Date: 2015
  • Doi Number: 10.1007/s00025-014-0409-z
  • Journal Name: RESULTS IN MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.417-430
  • Keywords: Sub-parabolic line, Minkowski space, spacelike surface, Focal surfaces, FOLDING MAPS, SURFACES
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, we investigate the focal surfaces obtained by the normal rectilinear congruence in the Minkowski 3-space. The sub-parabolic points and the ridge points are studied on the spacelike and timelike surfaces. We examine some special points on the surface, which form the sub-parabolic and the ridge lines in the Minkowski 3-space.