Characterizations of tzitzeica curves using FLC frame
1Department of Mathematics, Faculty of Arts and Science, Ordu University, Ordu, 52200, Türkiye
2Department of Mathematics, Faculty of Arts and Science, Sakarya University, Sakarya, 54050, Türkiye
2Department of Mathematics, Faculty of Arts and Science, Sakarya University, Sakarya, 54050, Türkiye
Sigma J Eng Nat Sci 2024; 42(1): 37-41 DOI: 10.14744/sigma.2024.00005
Abstract
In this study, we investigate the condition that a given polynomial curve with respect to the Frenet like curve (Flc) frame is a Tzitzeica curve. We also show that any planar polynomial curve cannot be a Tzitzeica curve. Finally, the condition to be the Tzitzeica curve for each of the spherical indicatrix curves defined according to the Flc frame is expressed, separately.
Keywords: Polynomial Curves; Tzitzeica Curve; FLC Frame; Spherical Indicatrix
