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Generalized Spacelike Normal Curves in Minkowski Three-Space

Author

Listed:
  • Yusra Tashkandy

    (Department of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Walid Emam

    (Department of Statistics and Operations Research, Faculty of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia)

  • Clemente Cesarano

    (Section of Mathematics, International Telematic University Uninettuno, CorsoVittorio Emanuele II, 39, 00186 Roma, Italy)

  • M. M. Abd El-Raouf

    (Basic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport (AASTMT), Montaza 2, Alexandria 21532, Egypt)

  • Ayman Elsharkawy

    (Department of Mathematics, Faculty of Science, Tanta University, Tanta 31511, Egypt)

Abstract

Equiform geometry is considered an extension of other geometries. Furthermore, an equiform frame is a generalization of the Frenet frame. In this study, we begin by defining the term “equiform parameter (EQP)”, “equiform frame”, and “equiform formulas (EQF)” in regard to the Minkowski three-space. Second, we define spacelike normal curves (SPN) in Minkowski three-space and present a variety of descriptions of these curves with equiform spacelike (EQS) or equiform timelike (EQN) principal normals in Minkowski three-space. Third, we discuss the implications of these findings. Finally, an example is given to illustrate our theoretical results.

Suggested Citation

  • Yusra Tashkandy & Walid Emam & Clemente Cesarano & M. M. Abd El-Raouf & Ayman Elsharkawy, 2022. "Generalized Spacelike Normal Curves in Minkowski Three-Space," Mathematics, MDPI, vol. 10(21), pages 1-10, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:4145-:d:964767
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    References listed on IDEAS

    as
    1. Ufuk Ozturk & Esra Betul Koc Ozturk & Kazim Ilarslan, 2013. "On the Involute-Evolute of the Pseudonull Curve in Minkowski 3-Space," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-6, November.
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