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New Characterizations for the Timelike Curve by the help of Spherical Representations in Minkowski 3-Space

Year 2016, Volume: 6 Issue: 2, 97 - 101, 30.06.2016

Mihriban Külhacı

https://izlik.org/JA94EC86CY

Abstract

In this paper, some new characterizations have been obtained by using arc length and harmonic
curvature function of spherical represantations for the timelike curve in Minkowski 3-space.  

Keywords

Frenet frame helix minkowski 3-space

References

  • Arslan K, Çelik Y, and Hacısalihoğlu HH, 2000. On Harmonic Curvatures Of A Frenet Curve. Commun. Fac. Sci. Univ. Ank. Series A1, 49: 15-23.
  • Barros M, 1997. General helices and a theorem of Lancert. Proc. AMS, 125:1503-1509.
  • Ekmekçi N, Hacısalihoğlu HH, and İlarslan K, 2000. Harmonic curvatures in Lorentzian space. Bull. Malaysian Math. Sc. Soc. (Second Series), 23: 173-179.
  • Ghadami R, Yaylı Y, 2012. A new characterization for inclined curves by the help of spherical representations according to Bishop frame. International Journal of Pure and Applied Mathematics, 74(4):455-463.
  • Hacısalihoğlu HH, 2009. A New Characterization For Inclined Curves By The Help Of Spherical Representations. International Electronic Journal Of Geometry, 2(2): 71-75.
  • İyigün E, and Arslan K, 2005. On Harmonic Curvatures of Curves in Lorentzian N-Space. Commun. Fac. Sci. Univ. Ank. Series A1, 54(1):29-34.
  • Külahcı M, Bektaş M, and Ergüt M, 2009. On Harmonic Curvatures of A Frenet Curve in Lorentzian Space. Chaos, Solitons and Fractals 41: 1668--1675.
  • O’Neill B, 1983. Semi-Riemannian Geometry with Applications to Relativity. Academic Press Inc., London, England, 468 p.
  • ÖğrenmişAO, Yılmaz MY, Külahcı M, 2014. Some characterizations for curves by the help of spherical representations in the Galilean and pseudo-Galilean space. Acta Universitatis Apulensis, 40:373-380.
  • Sakomato, K, 1982. Helical immersions into a unit sphere. Math. Ann. 261:63-80.
  • Soylu D, Bektaş M, Ergüt M, 1999. Characterizations for osculator hypersphere in Lorentzian space. Jour of Inst of Math & Comp Sci (Math Ser), 12(3): 229-35.
  • Yücesan A, Çöken AC, Ayyıldız N, 2004. On the darboux rotation axis of Lorentz space curve. Applied Mathematics and Computation, 155: 345-351.

Minkowski 3-Uzayında Küresel Temsiller Yardımıyla Timelike Eğri İçin Yeni Karakterizasyonlar

Year 2016, Volume: 6 Issue: 2, 97 - 101, 30.06.2016

Mihriban Külhacı

https://izlik.org/JA94EC86CY

Abstract

Bu makalede, Minkowski 3-uzayında bir timelike eğrisi için küresel temsillerinin yay uzunluğunu ve harlmonik eğrilik fonksiyonunu kullanarak bazı yeni karakterizasyonlar elde edildi  

Keywords

Frenet çatısı helis minkowski 3-uzayı

References

  • Arslan K, Çelik Y, and Hacısalihoğlu HH, 2000. On Harmonic Curvatures Of A Frenet Curve. Commun. Fac. Sci. Univ. Ank. Series A1, 49: 15-23.
  • Barros M, 1997. General helices and a theorem of Lancert. Proc. AMS, 125:1503-1509.
  • Ekmekçi N, Hacısalihoğlu HH, and İlarslan K, 2000. Harmonic curvatures in Lorentzian space. Bull. Malaysian Math. Sc. Soc. (Second Series), 23: 173-179.
  • Ghadami R, Yaylı Y, 2012. A new characterization for inclined curves by the help of spherical representations according to Bishop frame. International Journal of Pure and Applied Mathematics, 74(4):455-463.
  • Hacısalihoğlu HH, 2009. A New Characterization For Inclined Curves By The Help Of Spherical Representations. International Electronic Journal Of Geometry, 2(2): 71-75.
  • İyigün E, and Arslan K, 2005. On Harmonic Curvatures of Curves in Lorentzian N-Space. Commun. Fac. Sci. Univ. Ank. Series A1, 54(1):29-34.
  • Külahcı M, Bektaş M, and Ergüt M, 2009. On Harmonic Curvatures of A Frenet Curve in Lorentzian Space. Chaos, Solitons and Fractals 41: 1668--1675.
  • O’Neill B, 1983. Semi-Riemannian Geometry with Applications to Relativity. Academic Press Inc., London, England, 468 p.
  • ÖğrenmişAO, Yılmaz MY, Külahcı M, 2014. Some characterizations for curves by the help of spherical representations in the Galilean and pseudo-Galilean space. Acta Universitatis Apulensis, 40:373-380.
  • Sakomato, K, 1982. Helical immersions into a unit sphere. Math. Ann. 261:63-80.
  • Soylu D, Bektaş M, Ergüt M, 1999. Characterizations for osculator hypersphere in Lorentzian space. Jour of Inst of Math & Comp Sci (Math Ser), 12(3): 229-35.
  • Yücesan A, Çöken AC, Ayyıldız N, 2004. On the darboux rotation axis of Lorentz space curve. Applied Mathematics and Computation, 155: 345-351.
There are 12 citations in total.

Details

Journal Section Research Article
Authors

Mihriban Külhacı This is me

Submission Date February 2, 2016
Acceptance Date April 7, 2016
Publication Date June 30, 2016
IZ https://izlik.org/JA94EC86CY
Published in Issue Year 2016 Volume: 6 Issue: 2

Cite

APA Külhacı, M. (2016). New Characterizations for the Timelike Curve by the help of Spherical Representations in Minkowski 3-Space. Journal of the Institute of Science and Technology, 6(2), 97-101. https://izlik.org/JA94EC86CY
AMA 1.Külhacı M. New Characterizations for the Timelike Curve by the help of Spherical Representations in Minkowski 3-Space. J. Inst. Sci. and Tech. 2016;6(2):97-101. https://izlik.org/JA94EC86CY
Chicago Külhacı, Mihriban. 2016. “New Characterizations for the Timelike Curve by the Help of Spherical Representations in Minkowski 3-Space”. Journal of the Institute of Science and Technology 6 (2): 97-101. https://izlik.org/JA94EC86CY.
EndNote Külhacı M (June 1, 2016) New Characterizations for the Timelike Curve by the help of Spherical Representations in Minkowski 3-Space. Journal of the Institute of Science and Technology 6 2 97–101.
IEEE [1]M. Külhacı, “New Characterizations for the Timelike Curve by the help of Spherical Representations in Minkowski 3-Space”, J. Inst. Sci. and Tech., vol. 6, no. 2, pp. 97–101, June 2016, [Online]. Available: https://izlik.org/JA94EC86CY
ISNAD Külhacı, Mihriban. “New Characterizations for the Timelike Curve by the Help of Spherical Representations in Minkowski 3-Space”. Journal of the Institute of Science and Technology 6/2 (June 1, 2016): 97-101. https://izlik.org/JA94EC86CY.
JAMA 1.Külhacı M. New Characterizations for the Timelike Curve by the help of Spherical Representations in Minkowski 3-Space. J. Inst. Sci. and Tech. 2016;6:97–101.
MLA Külhacı, Mihriban. “New Characterizations for the Timelike Curve by the Help of Spherical Representations in Minkowski 3-Space”. Journal of the Institute of Science and Technology, vol. 6, no. 2, June 2016, pp. 97-101, https://izlik.org/JA94EC86CY.
Vancouver 1.Külhacı M. New Characterizations for the Timelike Curve by the help of Spherical Representations in Minkowski 3-Space. J. Inst. Sci. and Tech. [Internet]. 2016 June 1;6(2):97-101. Available from: https://izlik.org/JA94EC86CY