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DUAL TIMELIKE NORMAL AND DUAL TIMELIKE SPHERICAL CURVES IN DUAL MINKOWSKI SPACE 3 D1

Year 2006, Volume: 1 Issue: 1, 77 - 86, 01.06.2006

Abstract

In this paper, we give characterizations of dual timelike normal and dual timelike spherical curves in the dual Minkowski 3-space 3 D1 and we show that every dual timelike normal curve is also a dual timelike spherical curve.

References

  • CAMCI, Ç., İLARSLAN, K. AND ŠUĆUROVIĆ, E., 2003: On pseudohyperbolic curves in Minkowski space-time, Turkish Journal of Math., 27, 315-328.
  • CHEN, B. Y., 2003. When does the position vector of a space curve always lie in its rectifying plane?, Amer. Math. Mountly, 110, 147-152.
  • EKMEKÇI, N. AND İLARSLAN, K., 1998. Higher Curvatures of a Regular Curve in Lorentzian Space, Journal of Institute of Math. And Comp. Sci., Vol. 11, No 2, 97- 102.
  • İLARSLAN, K. 2005. Spacelike Normal Curves in Minkowski Space E , Turk Journal 3 1 of Math., 29, 53-63.
  • İLARSLAN, K., NEŠOVIĆ, E. AND PETROVIĆ-TURGAŠEV, M., 2003. Some Characterizations of Rectifying Curves in the Minkowski 3-space, Novi Sad J. Math. Vol. 33, No. 2, 23-32.
  • PETROVIĆ-TURGAŠEV, M. AND ŠUĆUROVIĆ, E., 2000. Some characterizations of Lorentzian spherical spacelike curves with the timelike and null principal normal, Mathematica Moravica, 4, 83-92.
  • PETROVIĆ-TURGAŠEV, M. AND ŠUĆUROVIĆ, E., 2000. Some characterizations of curves lying on the pseudohyperbolic space H in the Minkowski space E , 2 3 1 Kragujevac J. Math., 22, 71-82.
  • WONG Y. C., 1963. A global formulation of condition for a curve to lie in a sphere, Monatschefte fur Mathematik, 67, 363-365.
  • WONG Y. C., 1972. On an explicit characterization of spherical curves, Proceedings of the American Math. Soc., 34, 239-242.
  • YÜCESAN A., CÖKEN A. C., AYYILDIZ N., 2002. On the Dual Darboux Rotation Axis of the Timelike Dual Space Curve, Balkan Journal of Geometry and Its Applications, Vol. 7, No:2, 137-142.

D1 DUAL MINKOWSKI UZAYINDA DUAL TIMELIKE NORMAL VE DUAL TIMELIKE KÜRESEL EĞRİLER

Year 2006, Volume: 1 Issue: 1, 77 - 86, 01.06.2006

Abstract

Bu çalışmada, 3 D1 dual Minkowski 3-uzayında dual timelike normal ve dual timelike küresel eğrilerin karakterizasyonları verildi ve her dual timelike normal eğrinin aynı zamanda bir dual timelike küresel eğri olduğu gösterildi.

References

  • CAMCI, Ç., İLARSLAN, K. AND ŠUĆUROVIĆ, E., 2003: On pseudohyperbolic curves in Minkowski space-time, Turkish Journal of Math., 27, 315-328.
  • CHEN, B. Y., 2003. When does the position vector of a space curve always lie in its rectifying plane?, Amer. Math. Mountly, 110, 147-152.
  • EKMEKÇI, N. AND İLARSLAN, K., 1998. Higher Curvatures of a Regular Curve in Lorentzian Space, Journal of Institute of Math. And Comp. Sci., Vol. 11, No 2, 97- 102.
  • İLARSLAN, K. 2005. Spacelike Normal Curves in Minkowski Space E , Turk Journal 3 1 of Math., 29, 53-63.
  • İLARSLAN, K., NEŠOVIĆ, E. AND PETROVIĆ-TURGAŠEV, M., 2003. Some Characterizations of Rectifying Curves in the Minkowski 3-space, Novi Sad J. Math. Vol. 33, No. 2, 23-32.
  • PETROVIĆ-TURGAŠEV, M. AND ŠUĆUROVIĆ, E., 2000. Some characterizations of Lorentzian spherical spacelike curves with the timelike and null principal normal, Mathematica Moravica, 4, 83-92.
  • PETROVIĆ-TURGAŠEV, M. AND ŠUĆUROVIĆ, E., 2000. Some characterizations of curves lying on the pseudohyperbolic space H in the Minkowski space E , 2 3 1 Kragujevac J. Math., 22, 71-82.
  • WONG Y. C., 1963. A global formulation of condition for a curve to lie in a sphere, Monatschefte fur Mathematik, 67, 363-365.
  • WONG Y. C., 1972. On an explicit characterization of spherical curves, Proceedings of the American Math. Soc., 34, 239-242.
  • YÜCESAN A., CÖKEN A. C., AYYILDIZ N., 2002. On the Dual Darboux Rotation Axis of the Timelike Dual Space Curve, Balkan Journal of Geometry and Its Applications, Vol. 7, No:2, 137-142.
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Makaleler
Authors

Mehmet Önder This is me

Publication Date June 1, 2006
Published in Issue Year 2006 Volume: 1 Issue: 1

Cite

IEEE M. Önder, “DUAL TIMELIKE NORMAL AND DUAL TIMELIKE SPHERICAL CURVES IN DUAL MINKOWSKI SPACE 3 D1”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 1, no. 1, pp. 77–86, 2006.