On Developable Ruled Surfaces in Minkowski Space

YAYLI Y., Saracoglu S.

Advances in Applied Clifford Algebras, cilt.22, sa.2, ss.499-510, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s00006-011-0305-5
  • Dergi Adı: Advances in Applied Clifford Algebras
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.499-510
  • Anahtar Kelimeler: Frenet frame, spacelike curve, timelike vector
  • Ankara Üniversitesi Adresli: Evet

Özet

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. © 2011 Springer Basel AG.