This study introduces concepts of multiplicative curvature and arc length in multiplicative equiaffine planes, establishing key formulas.
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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Öğrenmiş et al. (2025) studied this question.
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