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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

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

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 Matematik / Mathematics
Authors

Mihriban Külhacı This is me

Publication Date June 30, 2016
Submission Date February 2, 2016
Acceptance Date April 7, 2016
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.
AMA Külhacı M. New Characterizations for the Timelike Curve by the help of Spherical Representations in Minkowski 3-Space. J. Inst. Sci. and Tech. June 2016;6(2):97-101.
Chicago 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, no. 2 (June 2016): 97-101.
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 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, 2016.
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 2016), 97-101.
JAMA 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, 2016, pp. 97-101.
Vancouver 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.