Plane curves with same equi-affine and Euclidean invariants

Authors

  • Muhittin Evren Aydın
  • Esra Erdem
  • Munevver Yıldırım Yılmaz Firat University

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://journalmim.com/index.php/journalMIM/article/view/72

Issue

Vol. 4 No. 1 (2021): International Journal of Maps in Mathematics

Section

Articles

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