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On Rectifying Curves and Their Characterization in Lorentz n-Space

Year 2018, Volume: 11 Issue: 1, 26 - 36, 30.04.2018
https://doi.org/10.36890/iejg.545079

Abstract

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.

References

  • [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.
Year 2018, Volume: 11 Issue: 1, 26 - 36, 30.04.2018
https://doi.org/10.36890/iejg.545079

Abstract

References

  • [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.
There are 15 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

Tunahan Turhan This is me

Publication Date April 30, 2018
Published in Issue Year 2018 Volume: 11 Issue: 1

Cite

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. April 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, no. 1 (April 2018): 26-36. https://doi.org/10.36890/iejg.545079.
EndNote Turhan T (April 1, 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., vol. 11, no. 1, pp. 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 (April 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, vol. 11, no. 1, 2018, pp. 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.