Tubular Surfaces Formed by Semi-spherical Indicatrices in E-1(3)

ATEŞ F., Kocakusakli E., GÖK İ., Ekmekci N.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.17, sa.4, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s00009-020-01561-z
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Tubular surface, semi-spherical indicatrices, singular points, geodesic curve, asymptotic curve, HELIX
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we study tubular surfaces whose centers are semi-spherical indicatrices of a spatial curve using the alternative moving frame {N, C, W}. The first objective is to examine the basic properties of these surfaces. Then, we investigate the condition of the parameter curves on these surfaces to be asymptotic and geodesic curves. Finally, we present the graphs of some related examples using the Mathematica.