Tube surfaces with type-2 bishop frame of weingarten types in E3

Kiziltuǧ S., Kaya S., TARAKCI Ö.

International Journal of Mathematical Analysis, vol.7, no.1-4, pp.9-18, 2013 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 7 Issue: 1-4
  • Publication Date: 2013
  • Journal Name: International Journal of Mathematical Analysis
  • Journal Indexes: Scopus, zbMATH
  • Page Numbers: pp.9-18
  • Keywords: Mean and gaussian curvatures, Second gaussian curvature, Tube surfaces, Type-2 bishop frame, Weingarten property
  • Ataturk University Affiliated: Yes


In this paper, we study tube surfaces with type-2 Bishop frame instead of Frenet frame in Euclidean 3-space E3.Besides, we have discussed Weingarten and linear Weingarten conditions for tube surfaces with the Gaussian curvature K, the mean curvature H and the second Gaussian curvature KII.