Smarandache Curves according to Curves on a Spacelike Surface in Minkowski 3-Space R13. (16th October 2014)

• Record Type: Journal Article
• Authors: Ozturk, Ufuk; Koc Ozturk, Esra Betul
• Other Names: De Bonis Annalisa Academic Editor.
• Is Part Of: Journal of discrete mathematics. Volume 2014(2014)
• Publication Date: 2014-10-16
• Subjects: Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Periodicals; 511.1
• DOI: 10.1155/2014/829581
• Languages: English
• ISSNs: 2090-9837

Abstract

Abstract : We introduce Smarandache curves according to the Lorentzian Darboux frame of a curve on spacelike surface in Minkowski 3-space R 1 3 . Also, we obtain the Sabban frame and the geodesic curvature of the Smarandache curves and give some characterizations on the curves when the curve α is an asymptotic curve or a principal curve. And we give an example to illustrate these curves.