Ruled surfaces in three dimensional lie groups

Güven I. A., Nurkan S.

Journal of Mathematical and Computational Science, cilt.10, sa.4, ss.936-955, 2020 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 10 Sayı: 4
  • Basım Tarihi: 2020
  • Doi Numarası: 10.28919/jmcs/4475
  • Dergi Adı: Journal of Mathematical and Computational Science
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.936-955
  • Anahtar Kelimeler: Geodesic torsion, Lie groups, Mean curvature, Normal curvature, Ruled surface
  • Uşak Üniversitesi Adresli: Evet

Özet

Motivated by a number of recent investigations, we define and investigate the various properties of the ruled surfaces depend on three dimensional Lie groups with a bi-variant metric. We give useful results involving the characterizations of these ruled surfaces. Some special ruled surfaces such as normal surface, binormal surface, tangent developable surface, rectifying developable surface and Darboux developable surface are worked. From those applications, we make use of such a work to interpret the Gaussian, mean curvatures of these surfaces and geodesic, normal curvature and geodesic torsion of the base curves with respect to these surfaces depend on three dimensional Lie groups.