Dual Smarandache Curves of a Curve lying on Dual Unit Hyperbolic Sphere

KAHRAMAN T., Onder M., UĞURLU H. H.

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, vol.14, no.4, pp.326-344, 2015 (ESCI) identifier

  • Publication Type: Article / Article
  • Volume: 14 Issue: 4
  • Publication Date: 2015
  • Journal Name: JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus
  • Page Numbers: pp.326-344
  • Gazi University Affiliated: Yes

Abstract

In this paper, we give Darboux approximation for dual Smarandache curves of spacelike curve on dual unit hyperbolic sphere (H) over tilde (2)(0). Firstly, we define the four types of dual Smarandache curves of a dual hyperbolic curve (alpha) over tilde (s). Then, we obtain the relationships between the dual curvatures of dual hyperbolic curve (alpha) over tilde (s) and its dual Smarandache curves. Finally, we give an example for Smarandache curves of a spacelike curve on dual unit hyperbolic sphere (H) over tilde (2)(0).