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On Smarandache Curves Lying in Lightcone in Minkowski 3-Space
Ufuk OzturkSchool of Mathematics & Statistical SciencesArizona State UniversityTempe, Arizona, 85287-1804View full profile → , Esra Betul Koc OzturkSchool of Mathematics & Statistical SciencesArizona State UniversityTempe, Arizona, 85287-1804View full profile → , Kazim Ilarslankilarslan@yahoo.comDepartment of MathematicsFaculty of Sciences and ArtUniversity of KirikkaleKirikkale, 71450, TurkeyView full profile → , Emilija Nešovićnesovickg@sbb.rsDepartment of Mathematics and InformaticsFaculty of Science. S:University of KragujevacKragujevac, 34000, SerbiaView full profile →
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- Received:
- 04 Apr 2014
- Accepted:
- 05 May 2014
- Published Online:
- 08 Jul 2014
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2014.922332
- Pages:
- 81–91
Abstract
In this paper we define the spacelike and the null lightcone Smarandache curves of a spacelike lightcone curve α according to the lightcone Frenet frame of a α in Minkowski 3-space. We obtain the lightcone curvature and the expressions for the lightcone Frenet frame's vectors of a spacelike Smarandache curve of α. We prove that if the null straight line is the lightcone Smarandache curve of α, then α has non-zero constant lightcone curvature. Finally, we give some examples of lightcone Smarandache curves.
Keywords
Subject Classifications
: 53B3053A3553C22
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