Differential Invariants of Two Affine Curve Families

Yasemin Sağıroğlu; Demet Aydemir; Uğur Gözütok

doi:10.22342/jims.25.2.489.85-91

Yasemin Sağıroğlu ⁽¹⁾ , Demet Aydemir ⁽²⁾ , Uğur Gözütok ⁽³⁾

(1) ,

(2) ,

(3) Karadeniz Technical University, Turkey

https://doi.org/10.22342/jims.25.2.489.85-91

Issue
Volume 25 Number 2 (July 2019)

Submitted
April 28, 2017

Accepted
July 13, 2018

Published
July 10, 2019

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Abstract

This paper examines the affine differential invariants of two curves. The equivalence of two curves is obtained by using these invariants according to the affine group. In addition, obtained differential invariants will be shown to be the minimal system of the generators.

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Authors

Yasemin Sağıroğlu

Demet Aydemir

Uğur Gözütok

Karadeniz Technical University

ugurgozutok@ktu.edu.tr (Primary Contact)

Sağıroğlu, Y., Aydemir, D., & Gözütok, U. (2019). Differential Invariants of Two Affine Curve Families. Journal of the Indonesian Mathematical Society, 25(2), 85–91. https://doi.org/10.22342/jims.25.2.489.85-91