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October 17, 2025Open Physics0 citationsOpen Access

Curves in multiplicative equiaffine plane

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MÖMeltem ÖğrenmişAÖAlper Osman ÖğrenmişEMEmad E. Mahmoud

Key Points

  • The study introduces the concept of multiplicative equiaffine arc length, enhancing understanding of curve properties.
  • New Frenet formulas are established, providing significant insight into the behavior of these specialized plane curves.
  • Multiplicative equiaffine plane curves with constant curvature are classified, revealing their structural characteristics.
  • These findings expand the theoretical framework of plane geometry, highlighting the uniqueness of multiplicative equiaffine curves.

Abstract

Abstract In this study, we deal with multiplicative equiaffine plane curves. First, the concepts of multiplicative equiaffine arc length and multiplicative curvature are introduced. Multiplicative equiaffine Frenet formulas and an analog of the fundamental theorem are established. Finally, multiplicative equiaffine plane curves with constant multiplicative equiaffine curvature are classified.

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Cite This Study

Öğrenmiş et al. (2025) studied this question.

synapsesocial.com/papers/68f199d1de32064e504dd58dhttps://doi.org/10.1515/phys-2025-0212
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