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Curves in Multiplicative Equiaffine Space

Author

Listed:
  • Meltem Ogrenmis

    (Department of Mathematics, Faculty of Science, Firat University, 23119 Elazığ, Turkey)

  • Alper Osman Ogrenmis

    (Department of Mathematics, Faculty of Science, Firat University, 23119 Elazığ, Turkey)

Abstract

In this study, the geometric properties of curves in multiplicative equiaffine space are investigated using multiplicative calculus. Fundamental geometric concepts such as multiplicative arc length, multiplicative equiaffine curvature, and torsion are introduced. This study derives the multiplicative Frenet frame and associated Frenet equations, providing a systematic framework for describing the geometric behavior of multiplicative equiaffine curves. Additionally, curves with constant multiplicative curvature and torsion are characterized and supported with illustrative examples.

Suggested Citation

  • Meltem Ogrenmis & Alper Osman Ogrenmis, 2025. "Curves in Multiplicative Equiaffine Space," Mathematics, MDPI, vol. 13(7), pages 1-12, March.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:7:p:1107-:d:1622194
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