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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
https://izlik.org/JA84BN82YN

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
https://izlik.org/JA84BN82YN

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 Research Article
Authors

Mehmet Önder

Publication Date June 1, 2006
IZ https://izlik.org/JA84BN82YN
Published in Issue Year 2006 Volume: 1 Issue: 1

Cite

IEEE [1]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, June 2006, [Online]. Available: https://izlik.org/JA84BN82YN