Advances in Applied Clifford Algebras

, Volume 22, Issue 2, pp 499–510 | Cite as

On Developable Ruled Surfaces in Minkowski Space

  • Yusuf Yayli
  • Semra Saracoglu


The aim of this study is to obtain the distribution parameter of a ruled surface generated by a straight line in Frenet trihedron moving along two different spacelike curves with the same parameter. At this time, the Frenet frames of these curves are not the same. We have moved the director vector of the first curve along the second curve. It is shown that the ruled surface is developable if and only if the base curve is helix. In addition, some results and theorems are presented with special cases.


Frenet frame spacelike curve timelike vector 


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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Faculty of Science, Department of MathematicsAnkara UniversityAnkaraTurkey
  2. 2.Faculty of Science and Arts, Department of MathematicsSiirt UniversitySiirtTurkey

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