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On Rectifying Curves and Their Characterization in Lorentz n-Space

Yıl 2018, Cilt: 11 Sayı: 1, 26 - 36, 30.04.2018
https://doi.org/10.36890/iejg.545079

Öz

This paper deals with rectifying curves and their characterization in arbitrary dimensional Lorentz
n-space. Considering the structure of a rectifying curve, we give some generalizations of such
curves in Lorentz n-space. Moreover, we characterize and prove some properties of these curves
in terms of their curvature functions.

Kaynakça

  • [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.
Yıl 2018, Cilt: 11 Sayı: 1, 26 - 36, 30.04.2018
https://doi.org/10.36890/iejg.545079

Öz

Kaynakça

  • [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.
Toplam 15 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Tunahan Turhan Bu kişi benim

Yayımlanma Tarihi 30 Nisan 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 11 Sayı: 1

Kaynak Göster

APA Turhan, T. (2018). On Rectifying Curves and Their Characterization in Lorentz n-Space. International Electronic Journal of Geometry, 11(1), 26-36. https://doi.org/10.36890/iejg.545079
AMA Turhan T. On Rectifying Curves and Their Characterization in Lorentz n-Space. Int. Electron. J. Geom. Nisan 2018;11(1):26-36. doi:10.36890/iejg.545079
Chicago Turhan, Tunahan. “On Rectifying Curves and Their Characterization in Lorentz N-Space”. International Electronic Journal of Geometry 11, sy. 1 (Nisan 2018): 26-36. https://doi.org/10.36890/iejg.545079.
EndNote Turhan T (01 Nisan 2018) On Rectifying Curves and Their Characterization in Lorentz n-Space. International Electronic Journal of Geometry 11 1 26–36.
IEEE T. Turhan, “On Rectifying Curves and Their Characterization in Lorentz n-Space”, Int. Electron. J. Geom., c. 11, sy. 1, ss. 26–36, 2018, doi: 10.36890/iejg.545079.
ISNAD Turhan, Tunahan. “On Rectifying Curves and Their Characterization in Lorentz N-Space”. International Electronic Journal of Geometry 11/1 (Nisan 2018), 26-36. https://doi.org/10.36890/iejg.545079.
JAMA Turhan T. On Rectifying Curves and Their Characterization in Lorentz n-Space. Int. Electron. J. Geom. 2018;11:26–36.
MLA Turhan, Tunahan. “On Rectifying Curves and Their Characterization in Lorentz N-Space”. International Electronic Journal of Geometry, c. 11, sy. 1, 2018, ss. 26-36, doi:10.36890/iejg.545079.
Vancouver Turhan T. On Rectifying Curves and Their Characterization in Lorentz n-Space. Int. Electron. J. Geom. 2018;11(1):26-3.