Plane curves with same equi-affine and Euclidean invariants
Keywords:
Plane curve, Equiaffine transformation, Equiaffine curvature, Euclidean curvature.Abstract
In the present paper, we consider and solve the problem of finding plane curves with the same equi-affine and Frenet curvatures. We then classify the plane curves with prescribed equi-affine curvature by solving certain ordinary differential equations. Our classification generalizes the plane curves with constant equi-affine curvature. Several examples are also given by figures.
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Published
2021-01-03
How to Cite
Aydın, M. E., Erdem, E., & Yıldırım Yılmaz, M. (2021). Plane curves with same equi-affine and Euclidean invariants. International Journal of Maps in Mathematics, 4(1), 40–52. Retrieved from https://simadp.com/journalmim/article/view/72
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