On Rectifying Curves and Their Characterization in Lorentz n-Space
This paper deals with rectifying curves and their characterization in arbitrary dimensional Lorentz
___
- [1] Ali AT, Önder M., Some characterizations of space-like rectifying curves in the Minkowski space-time. Glob J Sci Front Res Math Decision
Sci, 12(1) (2012), 57-64.
- [2] Cambie S, Goemans W and Van Den Bussche I., Rectifying curves in n-dimensional Euclidean space. Turk J Math , 40 (2016), 210-223.
- [3] Chen B-Y., When does the position vector of a space curve always lie in its rectifying plane? Am Math Mon, 110 (2003), 147-152.
- [4] Chen B-Y, Dillen F. Rectifying curves as centrodes and extremal curves. Bull Inst Math Acad Sinica, 33 (2005), 77-90.
- [5] ˙Ilarslan K, Nesovic E., Some characterizations of null, pseudo null and partially null rectifying curves in Minkowski space-time. Taiwanese
J Math, 12(5) (2008), 1035-1044.
- [6] ˙Ilarslan K. and Nesovic E., Some characterizations of rectifying curves in the Euclidean space E4. Turk J Math, 32 (2008), 21-30.
- [7] ˙Ilarslan K. and Nesovic E., On rectifying curves as centodes and extremal curves in the Minkowski 3-space. Novi Sad J Math, 37 (2007),
53-64.
- [8] Ilarslan K. Spacelike normal curves in Minkowski space E31. Turk J Math, 29 (2005), 53-63,
- [9] Ilarslan K., Nesovic E, Petrovic-Torgasev M., Some characterizations of rectifying curves in the Minkowski 3-space. Novi Sad J Math, 33
(2003), 23-32.
- [10] Ilarslan K., Some special curves on non-Euclidean manifolds. PhD, Ankara University, Ankara, Turkey, 2002.
- [11] Izumiya S, Takeuchi N., New special curves and developable surfaces. Turk J Math, 28 (2004),153-163.
- [12] Lucas P, Ortega-Yagües JA., Rectifying curves in the three-dimensional sphere. J Math Anal Appl, 421 (2015), 4855-4868.
- [13] O’neill B. Semi-Riemann Geometry with application to relativity. New York: Academic Press, 1983.
- [14] Öztekin H, Ö˘grenmi¸s AO. Normal and rectifying curves in Pseudo-Galilean space G31and their characterizations. J Math Comput Sci, 2
(2012), 91-100.
- [15] Yücesan, A., Ayyıldız, N., Çöken, A. C., On Rectifying Dual Space Curves. Revista Matematica Complutense, 20(2) (2007), 497-506.
35 www.