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On the Deformation Retractions of Frenet Curves in Minkowski 4 - Space

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  • A.E. El-Ahmady
  • A.T. M-Zidan

Abstract

In this paper, the position vector equation of the Frenet curves with constant curvatures in Minkowski 4 -space has been presented. New types for retractions and deformation retracts of Frenet curves in are deduced. The relations between the Frenet apparatus of the Frenet curves before and after the deformation retracts are obtained.

Suggested Citation

  • A.E. El-Ahmady & A.T. M-Zidan, 2020. "On the Deformation Retractions of Frenet Curves in Minkowski 4 - Space," Modern Applied Science, Canadian Center of Science and Education, vol. 14(9), pages 1-55, September.
  • Handle: RePEc:ibn:masjnl:v:14:y:2020:i:9:p:55
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    References listed on IDEAS

    as
    1. El-Ahmady, A.E., 2007. "The variation of the density functions on chaotic spheres in chaotic space-like Minkowski space time," Chaos, Solitons & Fractals, Elsevier, vol. 31(5), pages 1272-1278.
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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