Characterizations of tzitzeica curves using FLC frame

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

References

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