Structure and characterization of ruled surfaces in Minkowski 3-space

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Güler F., Kasap E.

JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, vol.14, no.2, pp.155-164, 2016 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 2
  • Publication Date: 2016
  • Doi Number: 10.1080/1726037x.2016.1250501
  • Journal Name: JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.155-164
  • Keywords: 14J26, 51B20, Ruled surfaces, Structure function-Pitch function-Angle function of ruled surface, Minkowski space
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

In this paper, we consider non developable ruled surface with spacelike ruling, timelike ruling, respectively. We give the relations between the structure functions with the curvature and torsion of the striction line of the timelike and spacelike non developable ruled surfaces. Also, we have calculated the gaussian and mean curvatures of timelike and spacelike non developable ruled surfaces using the structure functions.