Open Access
Original Articles
Time-Like Smarandache Curves Derived from a Space-Like Helix
Ahmad Tawfik Aliatali71@yahoo.comFaculty of ScienceAl-Azhar UniversityMathematics Department, Nasr City, 11448 Cairo, EgyptView full profile →
* Corresponding author · click or hover a name for details
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2010.10698581
- Pages:
- 93–100
Abstract
A regular curve in Minkowski space-time , whose position vector is composed by Frenet frame vectors on another regular curve, is called a Smarandache curve. We define a special case of such curves and call it Smarandache TB2 curves in the Minkowski space-time . Moreover, we compute formulas of its Frenet apparatus according to base curve via the method expressed in [5, 6]. By this way, we obtain another orthonormal frame of a such curve in .
Keywords
References
- Camci, C., Ilarslan, K. and Sucurovic, E.2003 . On pseudohyperbolical curves in Minkowski spacetime . , 27 : 315 – 328 .
- İlarslan, K. and Boyacıoğlu, Ö.2008 . Position vectors of a timelike and a null helix in Minkowski 3-space . , 38 : 1383 – 1389 .
- O’Neill, B.1983 . , New York: Academic Press .
- Ozyilmaz, E. and Yilmaz, S.2009 . Involute-evolute curve couples in the Euclidean 4-space . , 2 ( 2 ) : 168 – 174 .
- Yilmaz, S. and Turgut, M.2008 . On the differential geometry of the curves in Minkowski space-time I . , 3 ( 27 ) : 1343 – 1349 .
- Yilmaz, S., Ozyilmaz, E. and Turgut, M.2009 . On the differential geometry of the curves in Minkowski space-time II . , 3 ( 2 ) : 53 – 55 .
- Yilmaz, S.2001 . , Izmir: Dept. Math., Dokuz Eylul Univ . Ph.D. dissertation
- Turgut, M. and Yilmaz, S.2008 . Smarandache Curves in Minkowski space-time . , 3 : 51 – 55 .
Views: 53Downloads: 74Citations: 2




