Mathematics (Nov 2022)

Generalized Spacelike Normal Curves in Minkowski Three-Space

  • Yusra Tashkandy,
  • Walid Emam,
  • Clemente Cesarano,
  • M. M. Abd El-Raouf,
  • Ayman Elsharkawy

DOI
https://doi.org/10.3390/math10214145
Journal volume & issue
Vol. 10, no. 21
p. 4145

Abstract

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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.

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