A New Aspect of Rectifying Curves and Ruled Surfaces in Galilean 3-Space

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ÇETİN E. D., GÖK İ., YAYLI Y.

FILOMAT, cilt.32, sa.8, ss.2953-2962, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 8
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1808953d
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2953-2962
  • Anahtar Kelimeler: Rectifying curve, Ruled surfaces, Modified darboux vector
  • Ankara Üniversitesi Adresli: Evet

Özet

A curve is named as rectifying curve if its position vector always lies in its rectifying plane. There are lots of papers about rectifying curves in Euclidean and Minkowski spaces. In this paper, we give some relations between extended rectifying curves and their modified Darboux vector fields in Galilean 3-Space. The other aim of the paper is to introduce the ruled surfaces whose base curve is rectifying curve. Further, we prove that the parameter curve of the surface is a geodesic.