On the motion of the Frenet vectors and spacelike ruled surfaces in the Minkowski 3-space

YAYLI, YUSUF

doi:10.3390/mca5010049

On the motion of the Frenet vectors and spacelike ruled surfaces in the Minkowski 3-space

YAYLI Y.

Mathematical and Computational Applications, cilt.5, sa.1, ss.49-55, 2000 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 5 Sayı: 1
Basım Tarihi: 2000
Doi Numarası: 10.3390/mca5010049
Dergi Adı: Mathematical and Computational Applications
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.49-55
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we obtained the distribution parameter of a spacelike ruled surface generated by spacelike straight line in Frenet trihedron moving along a spacelike curve. We show that the spacelike ruled surface is developable if and only if the base curve is a helix (inclined curve). Furthermore, some theorems are given for the special cases which the line is being tangent, the principal normal and binormal of the base curve.